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Finding the Fourth Proportional to 8,657.34, 11,944.47 and 5,296.65

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Solution

The fourth proportional to 8,657.34, 11,944.47 and 5,296.65 is: 7,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.34 : 11,944.47 = 5,296.65 : x
  2. Step 2: Convert to fraction form
    8,657.34/11,944.47 = 5,296.65/x
  3. Step 3: Cross multiply
    8,657.34x = 11,944.47 × 5,296.65
  4. Step 4: Simplify right side
    8,657.34x = 63,265,677.03
  5. Step 5: Solve for x
    x = 63,265,677.03/8,657.34
  6. Step 6: Final answer
    x = 7,307.75

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