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Finding the Fourth Proportional to 7,362.64, 10,160.70 and 4,219.84

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Solution

The fourth proportional to 7,362.64, 10,160.70 and 4,219.84 is: 5,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.64 : 10,160.70 = 4,219.84 : x
  2. Step 2: Convert to fraction form
    7,362.64/10,160.70 = 4,219.84/x
  3. Step 3: Cross multiply
    7,362.64x = 10,160.70 × 4,219.84
  4. Step 4: Simplify right side
    7,362.64x = 42,876,528.29
  5. Step 5: Solve for x
    x = 42,876,528.29/7,362.64
  6. Step 6: Final answer
    x = 5,823.53

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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.