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Finding the Fourth Proportional to 7,858.04, 10,834.03 and 6,436.49

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Solution

The fourth proportional to 7,858.04, 10,834.03 and 6,436.49 is: 8,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.04 : 10,834.03 = 6,436.49 : x
  2. Step 2: Convert to fraction form
    7,858.04/10,834.03 = 6,436.49/x
  3. Step 3: Cross multiply
    7,858.04x = 10,834.03 × 6,436.49
  4. Step 4: Simplify right side
    7,858.04x = 69,733,125.75
  5. Step 5: Solve for x
    x = 69,733,125.75/7,858.04
  6. Step 6: Final answer
    x = 8,874.11

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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.