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Finding the Fourth Proportional to 11,854.25, 16,360.59 and 7,074.40

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Solution

The fourth proportional to 11,854.25, 16,360.59 and 7,074.40 is: 9,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.25 : 16,360.59 = 7,074.40 : x
  2. Step 2: Convert to fraction form
    11,854.25/16,360.59 = 7,074.40/x
  3. Step 3: Cross multiply
    11,854.25x = 16,360.59 × 7,074.40
  4. Step 4: Simplify right side
    11,854.25x = 115,741,302.07
  5. Step 5: Solve for x
    x = 115,741,302.07/11,854.25
  6. Step 6: Final answer
    x = 9,763.69

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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.