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Finding the Fourth Proportional to 10,459.96, 15,695.28 and 6,952.36

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Solution

The fourth proportional to 10,459.96, 15,695.28 and 6,952.36 is: 10,432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.96 : 15,695.28 = 6,952.36 : x
  2. Step 2: Convert to fraction form
    10,459.96/15,695.28 = 6,952.36/x
  3. Step 3: Cross multiply
    10,459.96x = 15,695.28 × 6,952.36
  4. Step 4: Simplify right side
    10,459.96x = 109,119,236.86
  5. Step 5: Solve for x
    x = 109,119,236.86/10,459.96
  6. Step 6: Final answer
    x = 10,432.09

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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.