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Finding the Fourth Proportional to 10,967.25, 15,137.24 and 7,569.03

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Solution

The fourth proportional to 10,967.25, 15,137.24 and 7,569.03 is: 10,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.25 : 15,137.24 = 7,569.03 : x
  2. Step 2: Convert to fraction form
    10,967.25/15,137.24 = 7,569.03/x
  3. Step 3: Cross multiply
    10,967.25x = 15,137.24 × 7,569.03
  4. Step 4: Simplify right side
    10,967.25x = 114,574,185.83
  5. Step 5: Solve for x
    x = 114,574,185.83/10,967.25
  6. Step 6: Final answer
    x = 10,446.94

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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.