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Finding the Fourth Proportional to 10,665.34, 14,718.07 and 5,885.33

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Solution

The fourth proportional to 10,665.34, 14,718.07 and 5,885.33 is: 8,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.34 : 14,718.07 = 5,885.33 : x
  2. Step 2: Convert to fraction form
    10,665.34/14,718.07 = 5,885.33/x
  3. Step 3: Cross multiply
    10,665.34x = 14,718.07 × 5,885.33
  4. Step 4: Simplify right side
    10,665.34x = 86,620,698.91
  5. Step 5: Solve for x
    x = 86,620,698.91/10,665.34
  6. Step 6: Final answer
    x = 8,121.70

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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.