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Finding the Fourth Proportional to 11,535.04, 15,903.76 and 7,549.84

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Solution

The fourth proportional to 11,535.04, 15,903.76 and 7,549.84 is: 10,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.04 : 15,903.76 = 7,549.84 : x
  2. Step 2: Convert to fraction form
    11,535.04/15,903.76 = 7,549.84/x
  3. Step 3: Cross multiply
    11,535.04x = 15,903.76 × 7,549.84
  4. Step 4: Simplify right side
    11,535.04x = 120,070,843.40
  5. Step 5: Solve for x
    x = 120,070,843.40/11,535.04
  6. Step 6: Final answer
    x = 10,409.23

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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.