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Finding the Fourth Proportional to 10,687.42, 14,746.30 and 6,208.86

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Solution

The fourth proportional to 10,687.42, 14,746.30 and 6,208.86 is: 8,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.42 : 14,746.30 = 6,208.86 : x
  2. Step 2: Convert to fraction form
    10,687.42/14,746.30 = 6,208.86/x
  3. Step 3: Cross multiply
    10,687.42x = 14,746.30 × 6,208.86
  4. Step 4: Simplify right side
    10,687.42x = 91,557,712.22
  5. Step 5: Solve for x
    x = 91,557,712.22/10,687.42
  6. Step 6: Final answer
    x = 8,566.87

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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.