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Finding the Fourth Proportional to 11,854.35, 16,358.90 and 6,549.26

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Solution

The fourth proportional to 11,854.35, 16,358.90 and 6,549.26 is: 9,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.35 : 16,358.90 = 6,549.26 : x
  2. Step 2: Convert to fraction form
    11,854.35/16,358.90 = 6,549.26/x
  3. Step 3: Cross multiply
    11,854.35x = 16,358.90 × 6,549.26
  4. Step 4: Simplify right side
    11,854.35x = 107,138,574.87
  5. Step 5: Solve for x
    x = 107,138,574.87/11,854.35
  6. Step 6: Final answer
    x = 9,037.91

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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.