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Finding the Fourth Proportional to 10,264.53, 15,402.89 and 4,341.10

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Solution

The fourth proportional to 10,264.53, 15,402.89 and 4,341.10 is: 6,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.53 : 15,402.89 = 4,341.10 : x
  2. Step 2: Convert to fraction form
    10,264.53/15,402.89 = 4,341.10/x
  3. Step 3: Cross multiply
    10,264.53x = 15,402.89 × 4,341.10
  4. Step 4: Simplify right side
    10,264.53x = 66,865,485.78
  5. Step 5: Solve for x
    x = 66,865,485.78/10,264.53
  6. Step 6: Final answer
    x = 6,514.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.