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Finding the Fourth Proportional to 10,468.76, 14,444.57 and 6,221.21

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Solution

The fourth proportional to 10,468.76, 14,444.57 and 6,221.21 is: 8,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.76 : 14,444.57 = 6,221.21 : x
  2. Step 2: Convert to fraction form
    10,468.76/14,444.57 = 6,221.21/x
  3. Step 3: Cross multiply
    10,468.76x = 14,444.57 × 6,221.21
  4. Step 4: Simplify right side
    10,468.76x = 89,862,600.00
  5. Step 5: Solve for x
    x = 89,862,600.00/10,468.76
  6. Step 6: Final answer
    x = 8,583.89

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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.