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Finding the Fourth Proportional to 8,353.60, 12,532.33 and 2,430.62

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Solution

The fourth proportional to 8,353.60, 12,532.33 and 2,430.62 is: 3,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.60 : 12,532.33 = 2,430.62 : x
  2. Step 2: Convert to fraction form
    8,353.60/12,532.33 = 2,430.62/x
  3. Step 3: Cross multiply
    8,353.60x = 12,532.33 × 2,430.62
  4. Step 4: Simplify right side
    8,353.60x = 30,461,319.79
  5. Step 5: Solve for x
    x = 30,461,319.79/8,353.60
  6. Step 6: Final answer
    x = 3,646.49

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Why These Related Problems?

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