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Finding the Fourth Proportional to 8,288.39, 11,437.95 and 4,562.39

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Solution

The fourth proportional to 8,288.39, 11,437.95 and 4,562.39 is: 6,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.39 : 11,437.95 = 4,562.39 : x
  2. Step 2: Convert to fraction form
    8,288.39/11,437.95 = 4,562.39/x
  3. Step 3: Cross multiply
    8,288.39x = 11,437.95 × 4,562.39
  4. Step 4: Simplify right side
    8,288.39x = 52,184,388.70
  5. Step 5: Solve for x
    x = 52,184,388.70/8,288.39
  6. Step 6: Final answer
    x = 6,296.08

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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.