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Finding the Fourth Proportional to 11,854.83, 16,359.33 and 6,549.51

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Solution

The fourth proportional to 11,854.83, 16,359.33 and 6,549.51 is: 9,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.83 : 16,359.33 = 6,549.51 : x
  2. Step 2: Convert to fraction form
    11,854.83/16,359.33 = 6,549.51/x
  3. Step 3: Cross multiply
    11,854.83x = 16,359.33 × 6,549.51
  4. Step 4: Simplify right side
    11,854.83x = 107,145,595.43
  5. Step 5: Solve for x
    x = 107,145,595.43/11,854.83
  6. Step 6: Final answer
    x = 9,038.14

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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.