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Finding the Fourth Proportional to 11,444.68, 15,790.98 and 8,295.40

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Solution

The fourth proportional to 11,444.68, 15,790.98 and 8,295.40 is: 11,445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.68 : 15,790.98 = 8,295.40 : x
  2. Step 2: Convert to fraction form
    11,444.68/15,790.98 = 8,295.40/x
  3. Step 3: Cross multiply
    11,444.68x = 15,790.98 × 8,295.40
  4. Step 4: Simplify right side
    11,444.68x = 130,992,495.49
  5. Step 5: Solve for x
    x = 130,992,495.49/11,444.68
  6. Step 6: Final answer
    x = 11,445.71

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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.