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Finding the Fourth Proportional to 7,289.70, 10,057.17 and 4,637.70

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Solution

The fourth proportional to 7,289.70, 10,057.17 and 4,637.70 is: 6,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.70 : 10,057.17 = 4,637.70 : x
  2. Step 2: Convert to fraction form
    7,289.70/10,057.17 = 4,637.70/x
  3. Step 3: Cross multiply
    7,289.70x = 10,057.17 × 4,637.70
  4. Step 4: Simplify right side
    7,289.70x = 46,642,137.31
  5. Step 5: Solve for x
    x = 46,642,137.31/7,289.70
  6. Step 6: Final answer
    x = 6,398.36

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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.