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Finding the Fourth Proportional to 7,146.58, 10,718.26 and 2,466.40

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Solution

The fourth proportional to 7,146.58, 10,718.26 and 2,466.40 is: 3,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.58 : 10,718.26 = 2,466.40 : x
  2. Step 2: Convert to fraction form
    7,146.58/10,718.26 = 2,466.40/x
  3. Step 3: Cross multiply
    7,146.58x = 10,718.26 × 2,466.40
  4. Step 4: Simplify right side
    7,146.58x = 26,435,503.60
  5. Step 5: Solve for x
    x = 26,435,503.60/7,146.58
  6. Step 6: Final answer
    x = 3,699.04

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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.