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Finding the Fourth Proportional to 7,463.52, 11,218.52 and 4,707.90

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Solution

The fourth proportional to 7,463.52, 11,218.52 and 4,707.90 is: 7,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.52 : 11,218.52 = 4,707.90 : x
  2. Step 2: Convert to fraction form
    7,463.52/11,218.52 = 4,707.90/x
  3. Step 3: Cross multiply
    7,463.52x = 11,218.52 × 4,707.90
  4. Step 4: Simplify right side
    7,463.52x = 52,815,646.77
  5. Step 5: Solve for x
    x = 52,815,646.77/7,463.52
  6. Step 6: Final answer
    x = 7,076.51

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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.