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Finding the Fourth Proportional to 10,967.99, 15,065.10 and 10,757.86

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Solution

The fourth proportional to 10,967.99, 15,065.10 and 10,757.86 is: 14,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.99 : 15,065.10 = 10,757.86 : x
  2. Step 2: Convert to fraction form
    10,967.99/15,065.10 = 10,757.86/x
  3. Step 3: Cross multiply
    10,967.99x = 15,065.10 × 10,757.86
  4. Step 4: Simplify right side
    10,967.99x = 162,068,199.02
  5. Step 5: Solve for x
    x = 162,068,199.02/10,967.99
  6. Step 6: Final answer
    x = 14,776.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.