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Finding the Fourth Proportional to 10,724.87, 14,800.08 and 6,248.34

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Solution

The fourth proportional to 10,724.87, 14,800.08 and 6,248.34 is: 8,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.87 : 14,800.08 = 6,248.34 : x
  2. Step 2: Convert to fraction form
    10,724.87/14,800.08 = 6,248.34/x
  3. Step 3: Cross multiply
    10,724.87x = 14,800.08 × 6,248.34
  4. Step 4: Simplify right side
    10,724.87x = 92,475,931.87
  5. Step 5: Solve for x
    x = 92,475,931.87/10,724.87
  6. Step 6: Final answer
    x = 8,622.57

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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.