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Finding the Fourth Proportional to 11,510.47, 15,884.36 and 6,542.47

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Solution

The fourth proportional to 11,510.47, 15,884.36 and 6,542.47 is: 9,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.47 : 15,884.36 = 6,542.47 : x
  2. Step 2: Convert to fraction form
    11,510.47/15,884.36 = 6,542.47/x
  3. Step 3: Cross multiply
    11,510.47x = 15,884.36 × 6,542.47
  4. Step 4: Simplify right side
    11,510.47x = 103,922,836.64
  5. Step 5: Solve for x
    x = 103,922,836.64/11,510.47
  6. Step 6: Final answer
    x = 9,028.55

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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.