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Finding the Fourth Proportional to 11,006.33, 15,200.00 and 10,301.02

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Solution

The fourth proportional to 11,006.33, 15,200.00 and 10,301.02 is: 14,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.33 : 15,200.00 = 10,301.02 : x
  2. Step 2: Convert to fraction form
    11,006.33/15,200.00 = 10,301.02/x
  3. Step 3: Cross multiply
    11,006.33x = 15,200.00 × 10,301.02
  4. Step 4: Simplify right side
    11,006.33x = 156,575,452.49
  5. Step 5: Solve for x
    x = 156,575,452.49/11,006.33
  6. Step 6: Final answer
    x = 14,225.95

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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.