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Finding the Fourth Proportional to 7,085.14, 10,674.98 and 6,418.87

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Solution

The fourth proportional to 7,085.14, 10,674.98 and 6,418.87 is: 9,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.14 : 10,674.98 = 6,418.87 : x
  2. Step 2: Convert to fraction form
    7,085.14/10,674.98 = 6,418.87/x
  3. Step 3: Cross multiply
    7,085.14x = 10,674.98 × 6,418.87
  4. Step 4: Simplify right side
    7,085.14x = 68,521,308.87
  5. Step 5: Solve for x
    x = 68,521,308.87/7,085.14
  6. Step 6: Final answer
    x = 9,671.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.