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Finding the Fourth Proportional to 7,564.13, 10,436.96 and 4,419.71

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Solution

The fourth proportional to 7,564.13, 10,436.96 and 4,419.71 is: 6,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.13 : 10,436.96 = 4,419.71 : x
  2. Step 2: Convert to fraction form
    7,564.13/10,436.96 = 4,419.71/x
  3. Step 3: Cross multiply
    7,564.13x = 10,436.96 × 4,419.71
  4. Step 4: Simplify right side
    7,564.13x = 46,128,262.20
  5. Step 5: Solve for x
    x = 46,128,262.20/7,564.13
  6. Step 6: Final answer
    x = 6,098.29

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