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Finding the Fourth Proportional to 10,459.55, 15,688.10 and 3,883.97

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Solution

The fourth proportional to 10,459.55, 15,688.10 and 3,883.97 is: 5,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.55 : 15,688.10 = 3,883.97 : x
  2. Step 2: Convert to fraction form
    10,459.55/15,688.10 = 3,883.97/x
  3. Step 3: Cross multiply
    10,459.55x = 15,688.10 × 3,883.97
  4. Step 4: Simplify right side
    10,459.55x = 60,932,158.69
  5. Step 5: Solve for x
    x = 60,932,158.69/10,459.55
  6. Step 6: Final answer
    x = 5,825.50

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Why These Related Problems?

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