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Finding the Fourth Proportional to 11,415.96, 15,752.34 and 6,701.76

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Solution

The fourth proportional to 11,415.96, 15,752.34 and 6,701.76 is: 9,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.96 : 15,752.34 = 6,701.76 : x
  2. Step 2: Convert to fraction form
    11,415.96/15,752.34 = 6,701.76/x
  3. Step 3: Cross multiply
    11,415.96x = 15,752.34 × 6,701.76
  4. Step 4: Simplify right side
    11,415.96x = 105,568,402.12
  5. Step 5: Solve for x
    x = 105,568,402.12/11,415.96
  6. Step 6: Final answer
    x = 9,247.44

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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.