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Finding the Fourth Proportional to 11,102.26, 15,325.59 and 7,569.04

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Solution

The fourth proportional to 11,102.26, 15,325.59 and 7,569.04 is: 10,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.26 : 15,325.59 = 7,569.04 : x
  2. Step 2: Convert to fraction form
    11,102.26/15,325.59 = 7,569.04/x
  3. Step 3: Cross multiply
    11,102.26x = 15,325.59 × 7,569.04
  4. Step 4: Simplify right side
    11,102.26x = 116,000,003.73
  5. Step 5: Solve for x
    x = 116,000,003.73/11,102.26
  6. Step 6: Final answer
    x = 10,448.32

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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.