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Finding the Fourth Proportional to 10,325.81, 15,468.06 and 7,977.62

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Solution

The fourth proportional to 10,325.81, 15,468.06 and 7,977.62 is: 11,950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.81 : 15,468.06 = 7,977.62 : x
  2. Step 2: Convert to fraction form
    10,325.81/15,468.06 = 7,977.62/x
  3. Step 3: Cross multiply
    10,325.81x = 15,468.06 × 7,977.62
  4. Step 4: Simplify right side
    10,325.81x = 123,398,304.82
  5. Step 5: Solve for x
    x = 123,398,304.82/10,325.81
  6. Step 6: Final answer
    x = 11,950.47

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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.