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Finding the Fourth Proportional to 10,772.32, 14,867.13 and 6,056.50

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Solution

The fourth proportional to 10,772.32, 14,867.13 and 6,056.50 is: 8,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.32 : 14,867.13 = 6,056.50 : x
  2. Step 2: Convert to fraction form
    10,772.32/14,867.13 = 6,056.50/x
  3. Step 3: Cross multiply
    10,772.32x = 14,867.13 × 6,056.50
  4. Step 4: Simplify right side
    10,772.32x = 90,042,772.85
  5. Step 5: Solve for x
    x = 90,042,772.85/10,772.32
  6. Step 6: Final answer
    x = 8,358.72

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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.