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Finding the Fourth Proportional to 10,005.74, 15,012.65 and 4,455.29

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Solution

The fourth proportional to 10,005.74, 15,012.65 and 4,455.29 is: 6,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.74 : 15,012.65 = 4,455.29 : x
  2. Step 2: Convert to fraction form
    10,005.74/15,012.65 = 4,455.29/x
  3. Step 3: Cross multiply
    10,005.74x = 15,012.65 × 4,455.29
  4. Step 4: Simplify right side
    10,005.74x = 66,885,709.42
  5. Step 5: Solve for x
    x = 66,885,709.42/10,005.74
  6. Step 6: Final answer
    x = 6,684.73

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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.