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Finding the Fourth Proportional to 6,901.71, 10,357.74 and 5,057.52

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Solution

The fourth proportional to 6,901.71, 10,357.74 and 5,057.52 is: 7,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.71 : 10,357.74 = 5,057.52 : x
  2. Step 2: Convert to fraction form
    6,901.71/10,357.74 = 5,057.52/x
  3. Step 3: Cross multiply
    6,901.71x = 10,357.74 × 5,057.52
  4. Step 4: Simplify right side
    6,901.71x = 52,384,477.20
  5. Step 5: Solve for x
    x = 52,384,477.20/6,901.71
  6. Step 6: Final answer
    x = 7,590.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.