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Finding the Fourth Proportional to 10,524.02, 15,766.88 and 6,128.15

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Solution

The fourth proportional to 10,524.02, 15,766.88 and 6,128.15 is: 9,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.02 : 15,766.88 = 6,128.15 : x
  2. Step 2: Convert to fraction form
    10,524.02/15,766.88 = 6,128.15/x
  3. Step 3: Cross multiply
    10,524.02x = 15,766.88 × 6,128.15
  4. Step 4: Simplify right side
    10,524.02x = 96,621,860.41
  5. Step 5: Solve for x
    x = 96,621,860.41/10,524.02
  6. Step 6: Final answer
    x = 9,181.08

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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.