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Finding the Fourth Proportional to 11,306.16, 15,603.08 and 6,829.83

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Solution

The fourth proportional to 11,306.16, 15,603.08 and 6,829.83 is: 9,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.16 : 15,603.08 = 6,829.83 : x
  2. Step 2: Convert to fraction form
    11,306.16/15,603.08 = 6,829.83/x
  3. Step 3: Cross multiply
    11,306.16x = 15,603.08 × 6,829.83
  4. Step 4: Simplify right side
    11,306.16x = 106,566,349.73
  5. Step 5: Solve for x
    x = 106,566,349.73/11,306.16
  6. Step 6: Final answer
    x = 9,425.51

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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.