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Finding the Fourth Proportional to 10,285.80, 15,461.10 and 9,508.20

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Solution

The fourth proportional to 10,285.80, 15,461.10 and 9,508.20 is: 14,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.80 : 15,461.10 = 9,508.20 : x
  2. Step 2: Convert to fraction form
    10,285.80/15,461.10 = 9,508.20/x
  3. Step 3: Cross multiply
    10,285.80x = 15,461.10 × 9,508.20
  4. Step 4: Simplify right side
    10,285.80x = 147,007,231.02
  5. Step 5: Solve for x
    x = 147,007,231.02/10,285.80
  6. Step 6: Final answer
    x = 14,292.25

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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.