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Finding the Fourth Proportional to 7,113.53, 10,671.96 and 2,433.58

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Solution

The fourth proportional to 7,113.53, 10,671.96 and 2,433.58 is: 3,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.53 : 10,671.96 = 2,433.58 : x
  2. Step 2: Convert to fraction form
    7,113.53/10,671.96 = 2,433.58/x
  3. Step 3: Cross multiply
    7,113.53x = 10,671.96 × 2,433.58
  4. Step 4: Simplify right side
    7,113.53x = 25,971,068.42
  5. Step 5: Solve for x
    x = 25,971,068.42/7,113.53
  6. Step 6: Final answer
    x = 3,650.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.