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Finding the Fourth Proportional to 7,585.47, 11,384.98 and 4,817.09

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Solution

The fourth proportional to 7,585.47, 11,384.98 and 4,817.09 is: 7,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.47 : 11,384.98 = 4,817.09 : x
  2. Step 2: Convert to fraction form
    7,585.47/11,384.98 = 4,817.09/x
  3. Step 3: Cross multiply
    7,585.47x = 11,384.98 × 4,817.09
  4. Step 4: Simplify right side
    7,585.47x = 54,842,473.31
  5. Step 5: Solve for x
    x = 54,842,473.31/7,585.47
  6. Step 6: Final answer
    x = 7,229.94

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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.