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Finding the Fourth Proportional to 11,351.68, 15,661.20 and 7,159.84

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Solution

The fourth proportional to 11,351.68, 15,661.20 and 7,159.84 is: 9,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.68 : 15,661.20 = 7,159.84 : x
  2. Step 2: Convert to fraction form
    11,351.68/15,661.20 = 7,159.84/x
  3. Step 3: Cross multiply
    11,351.68x = 15,661.20 × 7,159.84
  4. Step 4: Simplify right side
    11,351.68x = 112,131,686.21
  5. Step 5: Solve for x
    x = 112,131,686.21/11,351.68
  6. Step 6: Final answer
    x = 9,877.98

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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.