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Finding the Fourth Proportional to 10,684.38, 14,741.52 and 7,328.02

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Solution

The fourth proportional to 10,684.38, 14,741.52 and 7,328.02 is: 10,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.38 : 14,741.52 = 7,328.02 : x
  2. Step 2: Convert to fraction form
    10,684.38/14,741.52 = 7,328.02/x
  3. Step 3: Cross multiply
    10,684.38x = 14,741.52 × 7,328.02
  4. Step 4: Simplify right side
    10,684.38x = 108,026,153.39
  5. Step 5: Solve for x
    x = 108,026,153.39/10,684.38
  6. Step 6: Final answer
    x = 10,110.66

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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.