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Finding the Fourth Proportional to 8,337.45, 11,507.22 and 5,357.01

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Solution

The fourth proportional to 8,337.45, 11,507.22 and 5,357.01 is: 7,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.45 : 11,507.22 = 5,357.01 : x
  2. Step 2: Convert to fraction form
    8,337.45/11,507.22 = 5,357.01/x
  3. Step 3: Cross multiply
    8,337.45x = 11,507.22 × 5,357.01
  4. Step 4: Simplify right side
    8,337.45x = 61,644,292.61
  5. Step 5: Solve for x
    x = 61,644,292.61/8,337.45
  6. Step 6: Final answer
    x = 7,393.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.