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Finding the Fourth Proportional to 7,834.12, 10,809.06 and 4,851.40

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Solution

The fourth proportional to 7,834.12, 10,809.06 and 4,851.40 is: 6,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.12 : 10,809.06 = 4,851.40 : x
  2. Step 2: Convert to fraction form
    7,834.12/10,809.06 = 4,851.40/x
  3. Step 3: Cross multiply
    7,834.12x = 10,809.06 × 4,851.40
  4. Step 4: Simplify right side
    7,834.12x = 52,439,073.68
  5. Step 5: Solve for x
    x = 52,439,073.68/7,834.12
  6. Step 6: Final answer
    x = 6,693.68

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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.