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Finding the Fourth Proportional to 7,834.35, 10,811.62 and 4,477.71

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Solution

The fourth proportional to 7,834.35, 10,811.62 and 4,477.71 is: 6,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.35 : 10,811.62 = 4,477.71 : x
  2. Step 2: Convert to fraction form
    7,834.35/10,811.62 = 4,477.71/x
  3. Step 3: Cross multiply
    7,834.35x = 10,811.62 × 4,477.71
  4. Step 4: Simplify right side
    7,834.35x = 48,411,298.99
  5. Step 5: Solve for x
    x = 48,411,298.99/7,834.35
  6. Step 6: Final answer
    x = 6,179.36

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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.