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Finding the Fourth Proportional to 10,776.47, 14,865.46 and 6,468.45

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Solution

The fourth proportional to 10,776.47, 14,865.46 and 6,468.45 is: 8,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.47 : 14,865.46 = 6,468.45 : x
  2. Step 2: Convert to fraction form
    10,776.47/14,865.46 = 6,468.45/x
  3. Step 3: Cross multiply
    10,776.47x = 14,865.46 × 6,468.45
  4. Step 4: Simplify right side
    10,776.47x = 96,156,484.74
  5. Step 5: Solve for x
    x = 96,156,484.74/10,776.47
  6. Step 6: Final answer
    x = 8,922.82

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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.