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Finding the Fourth Proportional to 7,700.12, 10,603.78 and 6,691.36

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Solution

The fourth proportional to 7,700.12, 10,603.78 and 6,691.36 is: 9,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.12 : 10,603.78 = 6,691.36 : x
  2. Step 2: Convert to fraction form
    7,700.12/10,603.78 = 6,691.36/x
  3. Step 3: Cross multiply
    7,700.12x = 10,603.78 × 6,691.36
  4. Step 4: Simplify right side
    7,700.12x = 70,953,709.34
  5. Step 5: Solve for x
    x = 70,953,709.34/7,700.12
  6. Step 6: Final answer
    x = 9,214.62

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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.