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Finding the Fourth Proportional to 10,634.63, 15,924.07 and 7,497.65

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Solution

The fourth proportional to 10,634.63, 15,924.07 and 7,497.65 is: 11,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.63 : 15,924.07 = 7,497.65 : x
  2. Step 2: Convert to fraction form
    10,634.63/15,924.07 = 7,497.65/x
  3. Step 3: Cross multiply
    10,634.63x = 15,924.07 × 7,497.65
  4. Step 4: Simplify right side
    10,634.63x = 119,393,092.90
  5. Step 5: Solve for x
    x = 119,393,092.90/10,634.63
  6. Step 6: Final answer
    x = 11,226.82

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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.