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Finding the Fourth Proportional to 7,117.76, 10,677.24 and 2,437.60

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Solution

The fourth proportional to 7,117.76, 10,677.24 and 2,437.60 is: 3,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.76 : 10,677.24 = 2,437.60 : x
  2. Step 2: Convert to fraction form
    7,117.76/10,677.24 = 2,437.60/x
  3. Step 3: Cross multiply
    7,117.76x = 10,677.24 × 2,437.60
  4. Step 4: Simplify right side
    7,117.76x = 26,026,840.22
  5. Step 5: Solve for x
    x = 26,026,840.22/7,117.76
  6. Step 6: Final answer
    x = 3,656.61

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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.