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Finding the Fourth Proportional to 7,681.32, 10,599.84 and 4,696.38

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Solution

The fourth proportional to 7,681.32, 10,599.84 and 4,696.38 is: 6,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.32 : 10,599.84 = 4,696.38 : x
  2. Step 2: Convert to fraction form
    7,681.32/10,599.84 = 4,696.38/x
  3. Step 3: Cross multiply
    7,681.32x = 10,599.84 × 4,696.38
  4. Step 4: Simplify right side
    7,681.32x = 49,780,876.58
  5. Step 5: Solve for x
    x = 49,780,876.58/7,681.32
  6. Step 6: Final answer
    x = 6,480.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.