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Finding the Fourth Proportional to 10,767.01, 14,859.09 and 7,175.74

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Solution

The fourth proportional to 10,767.01, 14,859.09 and 7,175.74 is: 9,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.01 : 14,859.09 = 7,175.74 : x
  2. Step 2: Convert to fraction form
    10,767.01/14,859.09 = 7,175.74/x
  3. Step 3: Cross multiply
    10,767.01x = 14,859.09 × 7,175.74
  4. Step 4: Simplify right side
    10,767.01x = 106,624,966.48
  5. Step 5: Solve for x
    x = 106,624,966.48/10,767.01
  6. Step 6: Final answer
    x = 9,902.93

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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.