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Finding the Fourth Proportional to 11,854.01, 16,357.92 and 6,547.80

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Solution

The fourth proportional to 11,854.01, 16,357.92 and 6,547.80 is: 9,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.01 : 16,357.92 = 6,547.80 : x
  2. Step 2: Convert to fraction form
    11,854.01/16,357.92 = 6,547.80/x
  3. Step 3: Cross multiply
    11,854.01x = 16,357.92 × 6,547.80
  4. Step 4: Simplify right side
    11,854.01x = 107,108,388.58
  5. Step 5: Solve for x
    x = 107,108,388.58/11,854.01
  6. Step 6: Final answer
    x = 9,035.62

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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.