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Finding the Fourth Proportional to 8,239.54, 11,365.45 and 5,407.10

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Solution

The fourth proportional to 8,239.54, 11,365.45 and 5,407.10 is: 7,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.54 : 11,365.45 = 5,407.10 : x
  2. Step 2: Convert to fraction form
    8,239.54/11,365.45 = 5,407.10/x
  3. Step 3: Cross multiply
    8,239.54x = 11,365.45 × 5,407.10
  4. Step 4: Simplify right side
    8,239.54x = 61,454,124.70
  5. Step 5: Solve for x
    x = 61,454,124.70/8,239.54
  6. Step 6: Final answer
    x = 7,458.44

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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.