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Finding the Fourth Proportional to 11,346.55, 15,659.10 and 6,311.17

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Solution

The fourth proportional to 11,346.55, 15,659.10 and 6,311.17 is: 8,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.55 : 15,659.10 = 6,311.17 : x
  2. Step 2: Convert to fraction form
    11,346.55/15,659.10 = 6,311.17/x
  3. Step 3: Cross multiply
    11,346.55x = 15,659.10 × 6,311.17
  4. Step 4: Simplify right side
    11,346.55x = 98,827,242.15
  5. Step 5: Solve for x
    x = 98,827,242.15/11,346.55
  6. Step 6: Final answer
    x = 8,709.89

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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.