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Finding the Fourth Proportional to 10,770.32, 14,863.14 and 6,578.57

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Solution

The fourth proportional to 10,770.32, 14,863.14 and 6,578.57 is: 9,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.32 : 14,863.14 = 6,578.57 : x
  2. Step 2: Convert to fraction form
    10,770.32/14,863.14 = 6,578.57/x
  3. Step 3: Cross multiply
    10,770.32x = 14,863.14 × 6,578.57
  4. Step 4: Simplify right side
    10,770.32x = 97,778,132.59
  5. Step 5: Solve for x
    x = 97,778,132.59/10,770.32
  6. Step 6: Final answer
    x = 9,078.48

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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.