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Finding the Fourth Proportional to 11,203.30, 15,460.29 and 6,167.38

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Solution

The fourth proportional to 11,203.30, 15,460.29 and 6,167.38 is: 8,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.30 : 15,460.29 = 6,167.38 : x
  2. Step 2: Convert to fraction form
    11,203.30/15,460.29 = 6,167.38/x
  3. Step 3: Cross multiply
    11,203.30x = 15,460.29 × 6,167.38
  4. Step 4: Simplify right side
    11,203.30x = 95,349,483.34
  5. Step 5: Solve for x
    x = 95,349,483.34/11,203.30
  6. Step 6: Final answer
    x = 8,510.84

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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.