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Finding the Fourth Proportional to 7,643.32, 10,552.84 and 5,871.76

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Solution

The fourth proportional to 7,643.32, 10,552.84 and 5,871.76 is: 8,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.32 : 10,552.84 = 5,871.76 : x
  2. Step 2: Convert to fraction form
    7,643.32/10,552.84 = 5,871.76/x
  3. Step 3: Cross multiply
    7,643.32x = 10,552.84 × 5,871.76
  4. Step 4: Simplify right side
    7,643.32x = 61,963,743.80
  5. Step 5: Solve for x
    x = 61,963,743.80/7,643.32
  6. Step 6: Final answer
    x = 8,106.91

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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.