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Finding the Fourth Proportional to 13,085.64, 18,057.33 and 7,780.86

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Solution

The fourth proportional to 13,085.64, 18,057.33 and 7,780.86 is: 10,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.64 : 18,057.33 = 7,780.86 : x
  2. Step 2: Convert to fraction form
    13,085.64/18,057.33 = 7,780.86/x
  3. Step 3: Cross multiply
    13,085.64x = 18,057.33 × 7,780.86
  4. Step 4: Simplify right side
    13,085.64x = 140,501,556.70
  5. Step 5: Solve for x
    x = 140,501,556.70/13,085.64
  6. Step 6: Final answer
    x = 10,737.08

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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.