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Finding the Fourth Proportional to 7,614.29, 10,508.25 and 4,257.05

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Solution

The fourth proportional to 7,614.29, 10,508.25 and 4,257.05 is: 5,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.29 : 10,508.25 = 4,257.05 : x
  2. Step 2: Convert to fraction form
    7,614.29/10,508.25 = 4,257.05/x
  3. Step 3: Cross multiply
    7,614.29x = 10,508.25 × 4,257.05
  4. Step 4: Simplify right side
    7,614.29x = 44,734,071.84
  5. Step 5: Solve for x
    x = 44,734,071.84/7,614.29
  6. Step 6: Final answer
    x = 5,875.02

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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.