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Finding the Fourth Proportional to 11,497.60, 15,867.26 and 6,461.56

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Solution

The fourth proportional to 11,497.60, 15,867.26 and 6,461.56 is: 8,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.60 : 15,867.26 = 6,461.56 : x
  2. Step 2: Convert to fraction form
    11,497.60/15,867.26 = 6,461.56/x
  3. Step 3: Cross multiply
    11,497.60x = 15,867.26 × 6,461.56
  4. Step 4: Simplify right side
    11,497.60x = 102,527,252.53
  5. Step 5: Solve for x
    x = 102,527,252.53/11,497.60
  6. Step 6: Final answer
    x = 8,917.27

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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.