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Finding the Fourth Proportional to 11,072.86, 15,281.22 and 6,357.85

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Solution

The fourth proportional to 11,072.86, 15,281.22 and 6,357.85 is: 8,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.86 : 15,281.22 = 6,357.85 : x
  2. Step 2: Convert to fraction form
    11,072.86/15,281.22 = 6,357.85/x
  3. Step 3: Cross multiply
    11,072.86x = 15,281.22 × 6,357.85
  4. Step 4: Simplify right side
    11,072.86x = 97,155,690.22
  5. Step 5: Solve for x
    x = 97,155,690.22/11,072.86
  6. Step 6: Final answer
    x = 8,774.22

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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.