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Finding the Fourth Proportional to 7,639.16, 10,546.80 and 5,867.24

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Solution

The fourth proportional to 7,639.16, 10,546.80 and 5,867.24 is: 8,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.16 : 10,546.80 = 5,867.24 : x
  2. Step 2: Convert to fraction form
    7,639.16/10,546.80 = 5,867.24/x
  3. Step 3: Cross multiply
    7,639.16x = 10,546.80 × 5,867.24
  4. Step 4: Simplify right side
    7,639.16x = 61,880,606.83
  5. Step 5: Solve for x
    x = 61,880,606.83/7,639.16
  6. Step 6: Final answer
    x = 8,100.45

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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.