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Finding the Fourth Proportional to 7,146.72, 10,720.80 and 2,466.60

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Solution

The fourth proportional to 7,146.72, 10,720.80 and 2,466.60 is: 3,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.72 : 10,720.80 = 2,466.60 : x
  2. Step 2: Convert to fraction form
    7,146.72/10,720.80 = 2,466.60/x
  3. Step 3: Cross multiply
    7,146.72x = 10,720.80 × 2,466.60
  4. Step 4: Simplify right side
    7,146.72x = 26,443,925.28
  5. Step 5: Solve for x
    x = 26,443,925.28/7,146.72
  6. Step 6: Final answer
    x = 3,700.15

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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.