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Finding the Fourth Proportional to 10,274.65, 14,158.09 and 7,088.92

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Solution

The fourth proportional to 10,274.65, 14,158.09 and 7,088.92 is: 9,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.65 : 14,158.09 = 7,088.92 : x
  2. Step 2: Convert to fraction form
    10,274.65/14,158.09 = 7,088.92/x
  3. Step 3: Cross multiply
    10,274.65x = 14,158.09 × 7,088.92
  4. Step 4: Simplify right side
    10,274.65x = 100,365,540.83
  5. Step 5: Solve for x
    x = 100,365,540.83/10,274.65
  6. Step 6: Final answer
    x = 9,768.27

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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.