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Finding the Fourth Proportional to 11,854.68, 16,359.30 and 6,549.59

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Solution

The fourth proportional to 11,854.68, 16,359.30 and 6,549.59 is: 9,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.68 : 16,359.30 = 6,549.59 : x
  2. Step 2: Convert to fraction form
    11,854.68/16,359.30 = 6,549.59/x
  3. Step 3: Cross multiply
    11,854.68x = 16,359.30 × 6,549.59
  4. Step 4: Simplify right side
    11,854.68x = 107,146,707.69
  5. Step 5: Solve for x
    x = 107,146,707.69/11,854.68
  6. Step 6: Final answer
    x = 9,038.35

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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.