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Finding the Fourth Proportional to 10,767.72, 14,856.78 and 6,288.90

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Solution

The fourth proportional to 10,767.72, 14,856.78 and 6,288.90 is: 8,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.72 : 14,856.78 = 6,288.90 : x
  2. Step 2: Convert to fraction form
    10,767.72/14,856.78 = 6,288.90/x
  3. Step 3: Cross multiply
    10,767.72x = 14,856.78 × 6,288.90
  4. Step 4: Simplify right side
    10,767.72x = 93,432,803.74
  5. Step 5: Solve for x
    x = 93,432,803.74/10,767.72
  6. Step 6: Final answer
    x = 8,677.12

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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.