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Finding the Fourth Proportional to 10,734.96, 14,815.32 and 7,002.48

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Solution

The fourth proportional to 10,734.96, 14,815.32 and 7,002.48 is: 9,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.96 : 14,815.32 = 7,002.48 : x
  2. Step 2: Convert to fraction form
    10,734.96/14,815.32 = 7,002.48/x
  3. Step 3: Cross multiply
    10,734.96x = 14,815.32 × 7,002.48
  4. Step 4: Simplify right side
    10,734.96x = 103,743,981.99
  5. Step 5: Solve for x
    x = 103,743,981.99/10,734.96
  6. Step 6: Final answer
    x = 9,664.12

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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.