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Finding the Fourth Proportional to 10,578.38, 15,856.08 and 6,883.22

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Solution

The fourth proportional to 10,578.38, 15,856.08 and 6,883.22 is: 10,317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.38 : 15,856.08 = 6,883.22 : x
  2. Step 2: Convert to fraction form
    10,578.38/15,856.08 = 6,883.22/x
  3. Step 3: Cross multiply
    10,578.38x = 15,856.08 × 6,883.22
  4. Step 4: Simplify right side
    10,578.38x = 109,140,886.98
  5. Step 5: Solve for x
    x = 109,140,886.98/10,578.38
  6. Step 6: Final answer
    x = 10,317.35

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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.