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Finding the Fourth Proportional to 11,487.78, 15,852.69 and 7,458.66

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Solution

The fourth proportional to 11,487.78, 15,852.69 and 7,458.66 is: 10,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.78 : 15,852.69 = 7,458.66 : x
  2. Step 2: Convert to fraction form
    11,487.78/15,852.69 = 7,458.66/x
  3. Step 3: Cross multiply
    11,487.78x = 15,852.69 × 7,458.66
  4. Step 4: Simplify right side
    11,487.78x = 118,239,824.80
  5. Step 5: Solve for x
    x = 118,239,824.80/11,487.78
  6. Step 6: Final answer
    x = 10,292.66

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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.