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Finding the Fourth Proportional to 7,808.16, 11,681.14 and 6,780.28

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Solution

The fourth proportional to 7,808.16, 11,681.14 and 6,780.28 is: 10,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.16 : 11,681.14 = 6,780.28 : x
  2. Step 2: Convert to fraction form
    7,808.16/11,681.14 = 6,780.28/x
  3. Step 3: Cross multiply
    7,808.16x = 11,681.14 × 6,780.28
  4. Step 4: Simplify right side
    7,808.16x = 79,201,399.92
  5. Step 5: Solve for x
    x = 79,201,399.92/7,808.16
  6. Step 6: Final answer
    x = 10,143.41

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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.