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Finding the Fourth Proportional to 10,624.32, 14,660.98 and 5,844.17

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Solution

The fourth proportional to 10,624.32, 14,660.98 and 5,844.17 is: 8,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.32 : 14,660.98 = 5,844.17 : x
  2. Step 2: Convert to fraction form
    10,624.32/14,660.98 = 5,844.17/x
  3. Step 3: Cross multiply
    10,624.32x = 14,660.98 × 5,844.17
  4. Step 4: Simplify right side
    10,624.32x = 85,681,281.53
  5. Step 5: Solve for x
    x = 85,681,281.53/10,624.32
  6. Step 6: Final answer
    x = 8,064.64

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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.