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Finding the Fourth Proportional to 10,064.53, 13,886.97 and 6,085.85

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Solution

The fourth proportional to 10,064.53, 13,886.97 and 6,085.85 is: 8,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.53 : 13,886.97 = 6,085.85 : x
  2. Step 2: Convert to fraction form
    10,064.53/13,886.97 = 6,085.85/x
  3. Step 3: Cross multiply
    10,064.53x = 13,886.97 × 6,085.85
  4. Step 4: Simplify right side
    10,064.53x = 84,514,016.37
  5. Step 5: Solve for x
    x = 84,514,016.37/10,064.53
  6. Step 6: Final answer
    x = 8,397.22

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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.