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Finding the Fourth Proportional to 10,410.84, 14,367.24 and 6,221.52

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Solution

The fourth proportional to 10,410.84, 14,367.24 and 6,221.52 is: 8,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.84 : 14,367.24 = 6,221.52 : x
  2. Step 2: Convert to fraction form
    10,410.84/14,367.24 = 6,221.52/x
  3. Step 3: Cross multiply
    10,410.84x = 14,367.24 × 6,221.52
  4. Step 4: Simplify right side
    10,410.84x = 89,386,071.00
  5. Step 5: Solve for x
    x = 89,386,071.00/10,410.84
  6. Step 6: Final answer
    x = 8,585.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.