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Finding the Fourth Proportional to 8,565.28, 11,820 and 5,424.04

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Solution

The fourth proportional to 8,565.28, 11,820 and 5,424.04 is: 7,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.28 : 11,820 = 5,424.04 : x
  2. Step 2: Convert to fraction form
    8,565.28/11,820 = 5,424.04/x
  3. Step 3: Cross multiply
    8,565.28x = 11,820 × 5,424.04
  4. Step 4: Simplify right side
    8,565.28x = 64,112,152.80
  5. Step 5: Solve for x
    x = 64,112,152.80/8,565.28
  6. Step 6: Final answer
    x = 7,485.12

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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.