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Finding the Fourth Proportional to 10,135.70, 13,987.55 and 5,659.28

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Solution

The fourth proportional to 10,135.70, 13,987.55 and 5,659.28 is: 7,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.70 : 13,987.55 = 5,659.28 : x
  2. Step 2: Convert to fraction form
    10,135.70/13,987.55 = 5,659.28/x
  3. Step 3: Cross multiply
    10,135.70x = 13,987.55 × 5,659.28
  4. Step 4: Simplify right side
    10,135.70x = 79,159,433.67
  5. Step 5: Solve for x
    x = 79,159,433.67/10,135.70
  6. Step 6: Final answer
    x = 7,809.96

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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.