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Finding the Fourth Proportional to 10,479.32, 14,459.82 and 6,002

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Solution

The fourth proportional to 10,479.32, 14,459.82 and 6,002 is: 8,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.32 : 14,459.82 = 6,002 : x
  2. Step 2: Convert to fraction form
    10,479.32/14,459.82 = 6,002/x
  3. Step 3: Cross multiply
    10,479.32x = 14,459.82 × 6,002
  4. Step 4: Simplify right side
    10,479.32x = 86,787,839.64
  5. Step 5: Solve for x
    x = 86,787,839.64/10,479.32
  6. Step 6: Final answer
    x = 8,281.82

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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.