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Finding the Fourth Proportional to 10,400.90, 15,568.95 and 6,005.30

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Solution

The fourth proportional to 10,400.90, 15,568.95 and 6,005.30 is: 8,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.90 : 15,568.95 = 6,005.30 : x
  2. Step 2: Convert to fraction form
    10,400.90/15,568.95 = 6,005.30/x
  3. Step 3: Cross multiply
    10,400.90x = 15,568.95 × 6,005.30
  4. Step 4: Simplify right side
    10,400.90x = 93,496,215.44
  5. Step 5: Solve for x
    x = 93,496,215.44/10,400.90
  6. Step 6: Final answer
    x = 8,989.24

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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.