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Finding the Fourth Proportional to 7,138.41, 10,710.35 and 2,977.34

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Solution

The fourth proportional to 7,138.41, 10,710.35 and 2,977.34 is: 4,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.41 : 10,710.35 = 2,977.34 : x
  2. Step 2: Convert to fraction form
    7,138.41/10,710.35 = 2,977.34/x
  3. Step 3: Cross multiply
    7,138.41x = 10,710.35 × 2,977.34
  4. Step 4: Simplify right side
    7,138.41x = 31,888,285.03
  5. Step 5: Solve for x
    x = 31,888,285.03/7,138.41
  6. Step 6: Final answer
    x = 4,467.14

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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.