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Finding the Fourth Proportional to 7,614.74, 10,503.96 and 4,470.32

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Solution

The fourth proportional to 7,614.74, 10,503.96 and 4,470.32 is: 6,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.74 : 10,503.96 = 4,470.32 : x
  2. Step 2: Convert to fraction form
    7,614.74/10,503.96 = 4,470.32/x
  3. Step 3: Cross multiply
    7,614.74x = 10,503.96 × 4,470.32
  4. Step 4: Simplify right side
    7,614.74x = 46,956,062.47
  5. Step 5: Solve for x
    x = 46,956,062.47/7,614.74
  6. Step 6: Final answer
    x = 6,166.47

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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.