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Finding the Fourth Proportional to 11,298.43, 15,574.55 and 7,931.80

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Solution

The fourth proportional to 11,298.43, 15,574.55 and 7,931.80 is: 10,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.43 : 15,574.55 = 7,931.80 : x
  2. Step 2: Convert to fraction form
    11,298.43/15,574.55 = 7,931.80/x
  3. Step 3: Cross multiply
    11,298.43x = 15,574.55 × 7,931.80
  4. Step 4: Simplify right side
    11,298.43x = 123,534,215.69
  5. Step 5: Solve for x
    x = 123,534,215.69/11,298.43
  6. Step 6: Final answer
    x = 10,933.75

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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.