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Finding the Fourth Proportional to 7,135.38, 10,700.37 and 3,436.74

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Solution

The fourth proportional to 7,135.38, 10,700.37 and 3,436.74 is: 5,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.38 : 10,700.37 = 3,436.74 : x
  2. Step 2: Convert to fraction form
    7,135.38/10,700.37 = 3,436.74/x
  3. Step 3: Cross multiply
    7,135.38x = 10,700.37 × 3,436.74
  4. Step 4: Simplify right side
    7,135.38x = 36,774,389.59
  5. Step 5: Solve for x
    x = 36,774,389.59/7,135.38
  6. Step 6: Final answer
    x = 5,153.81

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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.