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Finding the Fourth Proportional to 10,776.92, 14,871.20 and 6,300.05

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Solution

The fourth proportional to 10,776.92, 14,871.20 and 6,300.05 is: 8,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.92 : 14,871.20 = 6,300.05 : x
  2. Step 2: Convert to fraction form
    10,776.92/14,871.20 = 6,300.05/x
  3. Step 3: Cross multiply
    10,776.92x = 14,871.20 × 6,300.05
  4. Step 4: Simplify right side
    10,776.92x = 93,689,197.70
  5. Step 5: Solve for x
    x = 93,689,197.70/10,776.92
  6. Step 6: Final answer
    x = 8,693.51

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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.