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Finding the Fourth Proportional to 10,135.48, 13,987.20 and 5,659.08

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Solution

The fourth proportional to 10,135.48, 13,987.20 and 5,659.08 is: 7,809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.48 : 13,987.20 = 5,659.08 : x
  2. Step 2: Convert to fraction form
    10,135.48/13,987.20 = 5,659.08/x
  3. Step 3: Cross multiply
    10,135.48x = 13,987.20 × 5,659.08
  4. Step 4: Simplify right side
    10,135.48x = 79,154,683.78
  5. Step 5: Solve for x
    x = 79,154,683.78/10,135.48
  6. Step 6: Final answer
    x = 7,809.66

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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.