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Finding the Fourth Proportional to 11,306.62, 15,599.37 and 6,526.42

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Solution

The fourth proportional to 11,306.62, 15,599.37 and 6,526.42 is: 9,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.62 : 15,599.37 = 6,526.42 : x
  2. Step 2: Convert to fraction form
    11,306.62/15,599.37 = 6,526.42/x
  3. Step 3: Cross multiply
    11,306.62x = 15,599.37 × 6,526.42
  4. Step 4: Simplify right side
    11,306.62x = 101,808,040.36
  5. Step 5: Solve for x
    x = 101,808,040.36/11,306.62
  6. Step 6: Final answer
    x = 9,004.29

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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.