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Finding the Fourth Proportional to 10,461.87, 15,682.20 and 6,282.30

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Solution

The fourth proportional to 10,461.87, 15,682.20 and 6,282.30 is: 9,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.87 : 15,682.20 = 6,282.30 : x
  2. Step 2: Convert to fraction form
    10,461.87/15,682.20 = 6,282.30/x
  3. Step 3: Cross multiply
    10,461.87x = 15,682.20 × 6,282.30
  4. Step 4: Simplify right side
    10,461.87x = 98,520,285.06
  5. Step 5: Solve for x
    x = 98,520,285.06/10,461.87
  6. Step 6: Final answer
    x = 9,417.08

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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.