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Finding the Fourth Proportional to 7,146.71, 10,718.35 and 2,466.87

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Solution

The fourth proportional to 7,146.71, 10,718.35 and 2,466.87 is: 3,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.71 : 10,718.35 = 2,466.87 : x
  2. Step 2: Convert to fraction form
    7,146.71/10,718.35 = 2,466.87/x
  3. Step 3: Cross multiply
    7,146.71x = 10,718.35 × 2,466.87
  4. Step 4: Simplify right side
    7,146.71x = 26,440,751.71
  5. Step 5: Solve for x
    x = 26,440,751.71/7,146.71
  6. Step 6: Final answer
    x = 3,699.71

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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.