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Finding the Fourth Proportional to 11,071.30, 15,247.29 and 10,829.38

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Solution

The fourth proportional to 11,071.30, 15,247.29 and 10,829.38 is: 14,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.30 : 15,247.29 = 10,829.38 : x
  2. Step 2: Convert to fraction form
    11,071.30/15,247.29 = 10,829.38/x
  3. Step 3: Cross multiply
    11,071.30x = 15,247.29 × 10,829.38
  4. Step 4: Simplify right side
    11,071.30x = 165,118,697.38
  5. Step 5: Solve for x
    x = 165,118,697.38/11,071.30
  6. Step 6: Final answer
    x = 14,914.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.