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Finding the Fourth Proportional to 7,585.47, 11,372.10 and 5,089.26

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Solution

The fourth proportional to 7,585.47, 11,372.10 and 5,089.26 is: 7,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.47 : 11,372.10 = 5,089.26 : x
  2. Step 2: Convert to fraction form
    7,585.47/11,372.10 = 5,089.26/x
  3. Step 3: Cross multiply
    7,585.47x = 11,372.10 × 5,089.26
  4. Step 4: Simplify right side
    7,585.47x = 57,875,573.65
  5. Step 5: Solve for x
    x = 57,875,573.65/7,585.47
  6. Step 6: Final answer
    x = 7,629.79

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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.