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Finding the Fourth Proportional to 10,459.84, 15,650.54 and 6,227.61

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Solution

The fourth proportional to 10,459.84, 15,650.54 and 6,227.61 is: 9,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.84 : 15,650.54 = 6,227.61 : x
  2. Step 2: Convert to fraction form
    10,459.84/15,650.54 = 6,227.61/x
  3. Step 3: Cross multiply
    10,459.84x = 15,650.54 × 6,227.61
  4. Step 4: Simplify right side
    10,459.84x = 97,465,459.41
  5. Step 5: Solve for x
    x = 97,465,459.41/10,459.84
  6. Step 6: Final answer
    x = 9,318.06

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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.