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Finding the Fourth Proportional to 7,077.53, 10,615.64 and 2,397

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Solution

The fourth proportional to 7,077.53, 10,615.64 and 2,397 is: 3,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.53 : 10,615.64 = 2,397 : x
  2. Step 2: Convert to fraction form
    7,077.53/10,615.64 = 2,397/x
  3. Step 3: Cross multiply
    7,077.53x = 10,615.64 × 2,397
  4. Step 4: Simplify right side
    7,077.53x = 25,445,689.08
  5. Step 5: Solve for x
    x = 25,445,689.08/7,077.53
  6. Step 6: Final answer
    x = 3,595.28

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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.