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Finding the Fourth Proportional to 10,511.76, 14,494.23 and 7,854.69

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Solution

The fourth proportional to 10,511.76, 14,494.23 and 7,854.69 is: 10,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.76 : 14,494.23 = 7,854.69 : x
  2. Step 2: Convert to fraction form
    10,511.76/14,494.23 = 7,854.69/x
  3. Step 3: Cross multiply
    10,511.76x = 14,494.23 × 7,854.69
  4. Step 4: Simplify right side
    10,511.76x = 113,847,683.44
  5. Step 5: Solve for x
    x = 113,847,683.44/10,511.76
  6. Step 6: Final answer
    x = 10,830.51

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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.