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Finding the Fourth Proportional to 7,398.74, 10,210.02 and 4,211.84

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Solution

The fourth proportional to 7,398.74, 10,210.02 and 4,211.84 is: 5,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.74 : 10,210.02 = 4,211.84 : x
  2. Step 2: Convert to fraction form
    7,398.74/10,210.02 = 4,211.84/x
  3. Step 3: Cross multiply
    7,398.74x = 10,210.02 × 4,211.84
  4. Step 4: Simplify right side
    7,398.74x = 43,002,970.64
  5. Step 5: Solve for x
    x = 43,002,970.64/7,398.74
  6. Step 6: Final answer
    x = 5,812.20

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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.