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Finding the Fourth Proportional to 10,718.63, 14,791.70 and 6,002.91

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Solution

The fourth proportional to 10,718.63, 14,791.70 and 6,002.91 is: 8,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718.63 : 14,791.70 = 6,002.91 : x
  2. Step 2: Convert to fraction form
    10,718.63/14,791.70 = 6,002.91/x
  3. Step 3: Cross multiply
    10,718.63x = 14,791.70 × 6,002.91
  4. Step 4: Simplify right side
    10,718.63x = 88,793,258.85
  5. Step 5: Solve for x
    x = 88,793,258.85/10,718.63
  6. Step 6: Final answer
    x = 8,284.02

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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.