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Finding the Fourth Proportional to 6,886.77, 10,304.64 and 4,114.95

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Solution

The fourth proportional to 6,886.77, 10,304.64 and 4,114.95 is: 6,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.77 : 10,304.64 = 4,114.95 : x
  2. Step 2: Convert to fraction form
    6,886.77/10,304.64 = 4,114.95/x
  3. Step 3: Cross multiply
    6,886.77x = 10,304.64 × 4,114.95
  4. Step 4: Simplify right side
    6,886.77x = 42,403,078.37
  5. Step 5: Solve for x
    x = 42,403,078.37/6,886.77
  6. Step 6: Final answer
    x = 6,157.18

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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.