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Finding the Fourth Proportional to 11,364.18, 15,674.49 and 7,585.44

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Solution

The fourth proportional to 11,364.18, 15,674.49 and 7,585.44 is: 10,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.18 : 15,674.49 = 7,585.44 : x
  2. Step 2: Convert to fraction form
    11,364.18/15,674.49 = 7,585.44/x
  3. Step 3: Cross multiply
    11,364.18x = 15,674.49 × 7,585.44
  4. Step 4: Simplify right side
    11,364.18x = 118,897,903.43
  5. Step 5: Solve for x
    x = 118,897,903.43/11,364.18
  6. Step 6: Final answer
    x = 10,462.51

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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.