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Finding the Fourth Proportional to 7,637.43, 11,436.70 and 5,032.47

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Solution

The fourth proportional to 7,637.43, 11,436.70 and 5,032.47 is: 7,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.43 : 11,436.70 = 5,032.47 : x
  2. Step 2: Convert to fraction form
    7,637.43/11,436.70 = 5,032.47/x
  3. Step 3: Cross multiply
    7,637.43x = 11,436.70 × 5,032.47
  4. Step 4: Simplify right side
    7,637.43x = 57,554,849.65
  5. Step 5: Solve for x
    x = 57,554,849.65/7,637.43
  6. Step 6: Final answer
    x = 7,535.89

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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.