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Finding the Fourth Proportional to 10,417.53, 15,620.22 and 4,567.71

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Solution

The fourth proportional to 10,417.53, 15,620.22 and 4,567.71 is: 6,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.53 : 15,620.22 = 4,567.71 : x
  2. Step 2: Convert to fraction form
    10,417.53/15,620.22 = 4,567.71/x
  3. Step 3: Cross multiply
    10,417.53x = 15,620.22 × 4,567.71
  4. Step 4: Simplify right side
    10,417.53x = 71,348,635.10
  5. Step 5: Solve for x
    x = 71,348,635.10/10,417.53
  6. Step 6: Final answer
    x = 6,848.90

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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.