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Finding the Fourth Proportional to 10,762.60, 16,031.09 and 10,257.32

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Solution

The fourth proportional to 10,762.60, 16,031.09 and 10,257.32 is: 15,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.60 : 16,031.09 = 10,257.32 : x
  2. Step 2: Convert to fraction form
    10,762.60/16,031.09 = 10,257.32/x
  3. Step 3: Cross multiply
    10,762.60x = 16,031.09 × 10,257.32
  4. Step 4: Simplify right side
    10,762.60x = 164,436,020.08
  5. Step 5: Solve for x
    x = 164,436,020.08/10,762.60
  6. Step 6: Final answer
    x = 15,278.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.