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Finding the Fourth Proportional to 8,085.41, 11,152.65 and 7,024.11

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Solution

The fourth proportional to 8,085.41, 11,152.65 and 7,024.11 is: 9,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.41 : 11,152.65 = 7,024.11 : x
  2. Step 2: Convert to fraction form
    8,085.41/11,152.65 = 7,024.11/x
  3. Step 3: Cross multiply
    8,085.41x = 11,152.65 × 7,024.11
  4. Step 4: Simplify right side
    8,085.41x = 78,337,440.39
  5. Step 5: Solve for x
    x = 78,337,440.39/8,085.41
  6. Step 6: Final answer
    x = 9,688.74

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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.