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Finding the Fourth Proportional to 10,002.60, 15,005.25 and 3,430.62

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Solution

The fourth proportional to 10,002.60, 15,005.25 and 3,430.62 is: 5,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.60 : 15,005.25 = 3,430.62 : x
  2. Step 2: Convert to fraction form
    10,002.60/15,005.25 = 3,430.62/x
  3. Step 3: Cross multiply
    10,002.60x = 15,005.25 × 3,430.62
  4. Step 4: Simplify right side
    10,002.60x = 51,477,310.76
  5. Step 5: Solve for x
    x = 51,477,310.76/10,002.60
  6. Step 6: Final answer
    x = 5,146.39

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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.