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Finding the Fourth Proportional to 10,223.12, 15,331.44 and 6,068.90

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Solution

The fourth proportional to 10,223.12, 15,331.44 and 6,068.90 is: 9,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.12 : 15,331.44 = 6,068.90 : x
  2. Step 2: Convert to fraction form
    10,223.12/15,331.44 = 6,068.90/x
  3. Step 3: Cross multiply
    10,223.12x = 15,331.44 × 6,068.90
  4. Step 4: Simplify right side
    10,223.12x = 93,044,976.22
  5. Step 5: Solve for x
    x = 93,044,976.22/10,223.12
  6. Step 6: Final answer
    x = 9,101.43

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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.