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Finding the Fourth Proportional to 10,862.69, 16,266.12 and 7,526.20

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Solution

The fourth proportional to 10,862.69, 16,266.12 and 7,526.20 is: 11,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.69 : 16,266.12 = 7,526.20 : x
  2. Step 2: Convert to fraction form
    10,862.69/16,266.12 = 7,526.20/x
  3. Step 3: Cross multiply
    10,862.69x = 16,266.12 × 7,526.20
  4. Step 4: Simplify right side
    10,862.69x = 122,421,991.01
  5. Step 5: Solve for x
    x = 122,421,991.01/10,862.69
  6. Step 6: Final answer
    x = 11,269.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.