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Finding the Fourth Proportional to 8,464.12, 11,683.76 and 7,578.40

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Solution

The fourth proportional to 8,464.12, 11,683.76 and 7,578.40 is: 10,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.12 : 11,683.76 = 7,578.40 : x
  2. Step 2: Convert to fraction form
    8,464.12/11,683.76 = 7,578.40/x
  3. Step 3: Cross multiply
    8,464.12x = 11,683.76 × 7,578.40
  4. Step 4: Simplify right side
    8,464.12x = 88,544,206.78
  5. Step 5: Solve for x
    x = 88,544,206.78/8,464.12
  6. Step 6: Final answer
    x = 10,461.12

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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.