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Finding the Fourth Proportional to 10,135.84, 13,987.31 and 5,659.66

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Solution

The fourth proportional to 10,135.84, 13,987.31 and 5,659.66 is: 7,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.84 : 13,987.31 = 5,659.66 : x
  2. Step 2: Convert to fraction form
    10,135.84/13,987.31 = 5,659.66/x
  3. Step 3: Cross multiply
    10,135.84x = 13,987.31 × 5,659.66
  4. Step 4: Simplify right side
    10,135.84x = 79,163,418.91
  5. Step 5: Solve for x
    x = 79,163,418.91/10,135.84
  6. Step 6: Final answer
    x = 7,810.25

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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.