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Finding the Fourth Proportional to 10,863.60, 16,295.40 and 7,407.60

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Solution

The fourth proportional to 10,863.60, 16,295.40 and 7,407.60 is: 11,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.60 : 16,295.40 = 7,407.60 : x
  2. Step 2: Convert to fraction form
    10,863.60/16,295.40 = 7,407.60/x
  3. Step 3: Cross multiply
    10,863.60x = 16,295.40 × 7,407.60
  4. Step 4: Simplify right side
    10,863.60x = 120,709,805.04
  5. Step 5: Solve for x
    x = 120,709,805.04/10,863.60
  6. Step 6: Final answer
    x = 11,111.40

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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.