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Finding the Fourth Proportional to 10,135.57, 13,987.11 and 5,659.48

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Solution

The fourth proportional to 10,135.57, 13,987.11 and 5,659.48 is: 7,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.57 : 13,987.11 = 5,659.48 : x
  2. Step 2: Convert to fraction form
    10,135.57/13,987.11 = 5,659.48/x
  3. Step 3: Cross multiply
    10,135.57x = 13,987.11 × 5,659.48
  4. Step 4: Simplify right side
    10,135.57x = 79,159,834.31
  5. Step 5: Solve for x
    x = 79,159,834.31/10,135.57
  6. Step 6: Final answer
    x = 7,810.10

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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.