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Finding the Fourth Proportional to 11,296.33, 15,594.29 and 7,525.78

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Solution

The fourth proportional to 11,296.33, 15,594.29 and 7,525.78 is: 10,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.33 : 15,594.29 = 7,525.78 : x
  2. Step 2: Convert to fraction form
    11,296.33/15,594.29 = 7,525.78/x
  3. Step 3: Cross multiply
    11,296.33x = 15,594.29 × 7,525.78
  4. Step 4: Simplify right side
    11,296.33x = 117,359,147.40
  5. Step 5: Solve for x
    x = 117,359,147.40/11,296.33
  6. Step 6: Final answer
    x = 10,389.14

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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.