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Finding the Fourth Proportional to 11,373.78, 15,689.82 and 7,830.84

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Solution

The fourth proportional to 11,373.78, 15,689.82 and 7,830.84 is: 10,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,373.78 : 15,689.82 = 7,830.84 : x
  2. Step 2: Convert to fraction form
    11,373.78/15,689.82 = 7,830.84/x
  3. Step 3: Cross multiply
    11,373.78x = 15,689.82 × 7,830.84
  4. Step 4: Simplify right side
    11,373.78x = 122,864,470.05
  5. Step 5: Solve for x
    x = 122,864,470.05/11,373.78
  6. Step 6: Final answer
    x = 10,802.43

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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.