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Finding the Fourth Proportional to 11,306.18, 15,602.91 and 6,829.04

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Solution

The fourth proportional to 11,306.18, 15,602.91 and 6,829.04 is: 9,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.18 : 15,602.91 = 6,829.04 : x
  2. Step 2: Convert to fraction form
    11,306.18/15,602.91 = 6,829.04/x
  3. Step 3: Cross multiply
    11,306.18x = 15,602.91 × 6,829.04
  4. Step 4: Simplify right side
    11,306.18x = 106,552,818.49
  5. Step 5: Solve for x
    x = 106,552,818.49/11,306.18
  6. Step 6: Final answer
    x = 9,424.30

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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.