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Finding the Fourth Proportional to 11,306.49, 15,616.11 and 9,045.67

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Solution

The fourth proportional to 11,306.49, 15,616.11 and 9,045.67 is: 12,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.49 : 15,616.11 = 9,045.67 : x
  2. Step 2: Convert to fraction form
    11,306.49/15,616.11 = 9,045.67/x
  3. Step 3: Cross multiply
    11,306.49x = 15,616.11 × 9,045.67
  4. Step 4: Simplify right side
    11,306.49x = 141,258,177.74
  5. Step 5: Solve for x
    x = 141,258,177.74/11,306.49
  6. Step 6: Final answer
    x = 12,493.55

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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.