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Finding the Fourth Proportional to 8,356.88, 11,535.48 and 5,702.39

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Solution

The fourth proportional to 8,356.88, 11,535.48 and 5,702.39 is: 7,871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.88 : 11,535.48 = 5,702.39 : x
  2. Step 2: Convert to fraction form
    8,356.88/11,535.48 = 5,702.39/x
  3. Step 3: Cross multiply
    8,356.88x = 11,535.48 × 5,702.39
  4. Step 4: Simplify right side
    8,356.88x = 65,779,748.12
  5. Step 5: Solve for x
    x = 65,779,748.12/8,356.88
  6. Step 6: Final answer
    x = 7,871.33

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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.