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Finding the Fourth Proportional to 10,657.42, 15,985.54 and 3,261.87

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Solution

The fourth proportional to 10,657.42, 15,985.54 and 3,261.87 is: 4,892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.42 : 15,985.54 = 3,261.87 : x
  2. Step 2: Convert to fraction form
    10,657.42/15,985.54 = 3,261.87/x
  3. Step 3: Cross multiply
    10,657.42x = 15,985.54 × 3,261.87
  4. Step 4: Simplify right side
    10,657.42x = 52,142,737.05
  5. Step 5: Solve for x
    x = 52,142,737.05/10,657.42
  6. Step 6: Final answer
    x = 4,892.63

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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.