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Finding the Fourth Proportional to 11,332.53, 15,636.34 and 6,856.17

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Solution

The fourth proportional to 11,332.53, 15,636.34 and 6,856.17 is: 9,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.53 : 15,636.34 = 6,856.17 : x
  2. Step 2: Convert to fraction form
    11,332.53/15,636.34 = 6,856.17/x
  3. Step 3: Cross multiply
    11,332.53x = 15,636.34 × 6,856.17
  4. Step 4: Simplify right side
    11,332.53x = 107,205,405.22
  5. Step 5: Solve for x
    x = 107,205,405.22/11,332.53
  6. Step 6: Final answer
    x = 9,459.97

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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.