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Finding the Fourth Proportional to 8,263.86, 11,401.11 and 5,432.74

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Solution

The fourth proportional to 8,263.86, 11,401.11 and 5,432.74 is: 7,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.86 : 11,401.11 = 5,432.74 : x
  2. Step 2: Convert to fraction form
    8,263.86/11,401.11 = 5,432.74/x
  3. Step 3: Cross multiply
    8,263.86x = 11,401.11 × 5,432.74
  4. Step 4: Simplify right side
    8,263.86x = 61,939,266.34
  5. Step 5: Solve for x
    x = 61,939,266.34/8,263.86
  6. Step 6: Final answer
    x = 7,495.20

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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.