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Finding the Fourth Proportional to 7,903.53, 11,853.14 and 4,002.57

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Solution

The fourth proportional to 7,903.53, 11,853.14 and 4,002.57 is: 6,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.53 : 11,853.14 = 4,002.57 : x
  2. Step 2: Convert to fraction form
    7,903.53/11,853.14 = 4,002.57/x
  3. Step 3: Cross multiply
    7,903.53x = 11,853.14 × 4,002.57
  4. Step 4: Simplify right side
    7,903.53x = 47,443,002.56
  5. Step 5: Solve for x
    x = 47,443,002.56/7,903.53
  6. Step 6: Final answer
    x = 6,002.76

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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.