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Finding the Fourth Proportional to 6,886.58, 10,330.95 and 4,116.38

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Solution

The fourth proportional to 6,886.58, 10,330.95 and 4,116.38 is: 6,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.58 : 10,330.95 = 4,116.38 : x
  2. Step 2: Convert to fraction form
    6,886.58/10,330.95 = 4,116.38/x
  3. Step 3: Cross multiply
    6,886.58x = 10,330.95 × 4,116.38
  4. Step 4: Simplify right side
    6,886.58x = 42,526,064.31
  5. Step 5: Solve for x
    x = 42,526,064.31/6,886.58
  6. Step 6: Final answer
    x = 6,175.21

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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.