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Finding the Fourth Proportional to 7,503.86, 11,256.87 and 2,308.52

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Solution

The fourth proportional to 7,503.86, 11,256.87 and 2,308.52 is: 3,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.86 : 11,256.87 = 2,308.52 : x
  2. Step 2: Convert to fraction form
    7,503.86/11,256.87 = 2,308.52/x
  3. Step 3: Cross multiply
    7,503.86x = 11,256.87 × 2,308.52
  4. Step 4: Simplify right side
    7,503.86x = 25,986,709.53
  5. Step 5: Solve for x
    x = 25,986,709.53/7,503.86
  6. Step 6: Final answer
    x = 3,463.11

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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.