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Finding the Fourth Proportional to 10,005.58, 15,000.24 and 4,166.56

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Solution

The fourth proportional to 10,005.58, 15,000.24 and 4,166.56 is: 6,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.58 : 15,000.24 = 4,166.56 : x
  2. Step 2: Convert to fraction form
    10,005.58/15,000.24 = 4,166.56/x
  3. Step 3: Cross multiply
    10,005.58x = 15,000.24 × 4,166.56
  4. Step 4: Simplify right side
    10,005.58x = 62,499,399.97
  5. Step 5: Solve for x
    x = 62,499,399.97/10,005.58
  6. Step 6: Final answer
    x = 6,246.45

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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.