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Finding the Fourth Proportional to 5,216.12, 7,824.18 and 1,320.83

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Solution

The fourth proportional to 5,216.12, 7,824.18 and 1,320.83 is: 1,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.12 : 7,824.18 = 1,320.83 : x
  2. Step 2: Convert to fraction form
    5,216.12/7,824.18 = 1,320.83/x
  3. Step 3: Cross multiply
    5,216.12x = 7,824.18 × 1,320.83
  4. Step 4: Simplify right side
    5,216.12x = 10,334,411.67
  5. Step 5: Solve for x
    x = 10,334,411.67/5,216.12
  6. Step 6: Final answer
    x = 1,981.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.