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Finding the Fourth Proportional to 11,348.78, 15,659.88 and 7,159.46

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Solution

The fourth proportional to 11,348.78, 15,659.88 and 7,159.46 is: 9,879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.78 : 15,659.88 = 7,159.46 : x
  2. Step 2: Convert to fraction form
    11,348.78/15,659.88 = 7,159.46/x
  3. Step 3: Cross multiply
    11,348.78x = 15,659.88 × 7,159.46
  4. Step 4: Simplify right side
    11,348.78x = 112,116,284.46
  5. Step 5: Solve for x
    x = 112,116,284.46/11,348.78
  6. Step 6: Final answer
    x = 9,879.15

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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.