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Finding the Fourth Proportional to 10,467.74, 15,712.55 and 6,574.88

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Solution

The fourth proportional to 10,467.74, 15,712.55 and 6,574.88 is: 9,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.74 : 15,712.55 = 6,574.88 : x
  2. Step 2: Convert to fraction form
    10,467.74/15,712.55 = 6,574.88/x
  3. Step 3: Cross multiply
    10,467.74x = 15,712.55 × 6,574.88
  4. Step 4: Simplify right side
    10,467.74x = 103,308,019.31
  5. Step 5: Solve for x
    x = 103,308,019.31/10,467.74
  6. Step 6: Final answer
    x = 9,869.19

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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.