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Finding the Fourth Proportional to 8,337.83, 11,507.75 and 5,357.39

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Solution

The fourth proportional to 8,337.83, 11,507.75 and 5,357.39 is: 7,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.83 : 11,507.75 = 5,357.39 : x
  2. Step 2: Convert to fraction form
    8,337.83/11,507.75 = 5,357.39/x
  3. Step 3: Cross multiply
    8,337.83x = 11,507.75 × 5,357.39
  4. Step 4: Simplify right side
    8,337.83x = 61,651,420.45
  5. Step 5: Solve for x
    x = 61,651,420.45/8,337.83
  6. Step 6: Final answer
    x = 7,394.18

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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.