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Finding the Fourth Proportional to 10,578.34, 15,870.83 and 6,366.19

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Solution

The fourth proportional to 10,578.34, 15,870.83 and 6,366.19 is: 9,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.34 : 15,870.83 = 6,366.19 : x
  2. Step 2: Convert to fraction form
    10,578.34/15,870.83 = 6,366.19/x
  3. Step 3: Cross multiply
    10,578.34x = 15,870.83 × 6,366.19
  4. Step 4: Simplify right side
    10,578.34x = 101,036,647.73
  5. Step 5: Solve for x
    x = 101,036,647.73/10,578.34
  6. Step 6: Final answer
    x = 9,551.28

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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.