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Finding the Fourth Proportional to 10,005.66, 15,010.65 and 3,767.58

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Solution

The fourth proportional to 10,005.66, 15,010.65 and 3,767.58 is: 5,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.66 : 15,010.65 = 3,767.58 : x
  2. Step 2: Convert to fraction form
    10,005.66/15,010.65 = 3,767.58/x
  3. Step 3: Cross multiply
    10,005.66x = 15,010.65 × 3,767.58
  4. Step 4: Simplify right side
    10,005.66x = 56,553,824.73
  5. Step 5: Solve for x
    x = 56,553,824.73/10,005.66
  6. Step 6: Final answer
    x = 5,652.18

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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.