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Finding the Fourth Proportional to 10,577.61, 15,865.50 and 4,003.86

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Solution

The fourth proportional to 10,577.61, 15,865.50 and 4,003.86 is: 6,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.61 : 15,865.50 = 4,003.86 : x
  2. Step 2: Convert to fraction form
    10,577.61/15,865.50 = 4,003.86/x
  3. Step 3: Cross multiply
    10,577.61x = 15,865.50 × 4,003.86
  4. Step 4: Simplify right side
    10,577.61x = 63,523,240.83
  5. Step 5: Solve for x
    x = 63,523,240.83/10,577.61
  6. Step 6: Final answer
    x = 6,005.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.