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Finding the Fourth Proportional to 7,353.84, 10,148.04 and 4,207.80

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Solution

The fourth proportional to 7,353.84, 10,148.04 and 4,207.80 is: 5,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353.84 : 10,148.04 = 4,207.80 : x
  2. Step 2: Convert to fraction form
    7,353.84/10,148.04 = 4,207.80/x
  3. Step 3: Cross multiply
    7,353.84x = 10,148.04 × 4,207.80
  4. Step 4: Simplify right side
    7,353.84x = 42,700,922.71
  5. Step 5: Solve for x
    x = 42,700,922.71/7,353.84
  6. Step 6: Final answer
    x = 5,806.62

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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.