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Finding the Fourth Proportional to 10,493.55, 14,480.55 and 5,776.92

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Solution

The fourth proportional to 10,493.55, 14,480.55 and 5,776.92 is: 7,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.55 : 14,480.55 = 5,776.92 : x
  2. Step 2: Convert to fraction form
    10,493.55/14,480.55 = 5,776.92/x
  3. Step 3: Cross multiply
    10,493.55x = 14,480.55 × 5,776.92
  4. Step 4: Simplify right side
    10,493.55x = 83,652,978.91
  5. Step 5: Solve for x
    x = 83,652,978.91/10,493.55
  6. Step 6: Final answer
    x = 7,971.85

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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.