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Finding the Fourth Proportional to 7,728.32, 11,574.46 and 5,643.16

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Solution

The fourth proportional to 7,728.32, 11,574.46 and 5,643.16 is: 8,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.32 : 11,574.46 = 5,643.16 : x
  2. Step 2: Convert to fraction form
    7,728.32/11,574.46 = 5,643.16/x
  3. Step 3: Cross multiply
    7,728.32x = 11,574.46 × 5,643.16
  4. Step 4: Simplify right side
    7,728.32x = 65,316,443.61
  5. Step 5: Solve for x
    x = 65,316,443.61/7,728.32
  6. Step 6: Final answer
    x = 8,451.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.