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Finding the Fourth Proportional to 7,767.48, 11,645.15 and 5,296.17

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Solution

The fourth proportional to 7,767.48, 11,645.15 and 5,296.17 is: 7,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.48 : 11,645.15 = 5,296.17 : x
  2. Step 2: Convert to fraction form
    7,767.48/11,645.15 = 5,296.17/x
  3. Step 3: Cross multiply
    7,767.48x = 11,645.15 × 5,296.17
  4. Step 4: Simplify right side
    7,767.48x = 61,674,667.59
  5. Step 5: Solve for x
    x = 61,674,667.59/7,767.48
  6. Step 6: Final answer
    x = 7,940.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.