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Finding the Fourth Proportional to 6,834.62, 10,214.47 and 4,989.62

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Solution

The fourth proportional to 6,834.62, 10,214.47 and 4,989.62 is: 7,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.62 : 10,214.47 = 4,989.62 : x
  2. Step 2: Convert to fraction form
    6,834.62/10,214.47 = 4,989.62/x
  3. Step 3: Cross multiply
    6,834.62x = 10,214.47 × 4,989.62
  4. Step 4: Simplify right side
    6,834.62x = 50,966,285.20
  5. Step 5: Solve for x
    x = 50,966,285.20/6,834.62
  6. Step 6: Final answer
    x = 7,457.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.