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Finding the Fourth Proportional to 7,821.29, 10,790.74 and 4,461.74

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Solution

The fourth proportional to 7,821.29, 10,790.74 and 4,461.74 is: 6,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.29 : 10,790.74 = 4,461.74 : x
  2. Step 2: Convert to fraction form
    7,821.29/10,790.74 = 4,461.74/x
  3. Step 3: Cross multiply
    7,821.29x = 10,790.74 × 4,461.74
  4. Step 4: Simplify right side
    7,821.29x = 48,145,500.93
  5. Step 5: Solve for x
    x = 48,145,500.93/7,821.29
  6. Step 6: Final answer
    x = 6,155.70

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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.