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Finding the Fourth Proportional to 7,750.97, 10,678.25 and 5,389.01

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Solution

The fourth proportional to 7,750.97, 10,678.25 and 5,389.01 is: 7,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.97 : 10,678.25 = 5,389.01 : x
  2. Step 2: Convert to fraction form
    7,750.97/10,678.25 = 5,389.01/x
  3. Step 3: Cross multiply
    7,750.97x = 10,678.25 × 5,389.01
  4. Step 4: Simplify right side
    7,750.97x = 57,545,142.64
  5. Step 5: Solve for x
    x = 57,545,142.64/7,750.97
  6. Step 6: Final answer
    x = 7,424.26

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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.