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Finding the Fourth Proportional to 7,138.10, 10,703.10 and 3,237.68

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Solution

The fourth proportional to 7,138.10, 10,703.10 and 3,237.68 is: 4,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.10 : 10,703.10 = 3,237.68 : x
  2. Step 2: Convert to fraction form
    7,138.10/10,703.10 = 3,237.68/x
  3. Step 3: Cross multiply
    7,138.10x = 10,703.10 × 3,237.68
  4. Step 4: Simplify right side
    7,138.10x = 34,653,212.81
  5. Step 5: Solve for x
    x = 34,653,212.81/7,138.10
  6. Step 6: Final answer
    x = 4,854.68

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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.