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Finding the Fourth Proportional to 7,506.84, 10,357.95 and 4,149

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Solution

The fourth proportional to 7,506.84, 10,357.95 and 4,149 is: 5,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.84 : 10,357.95 = 4,149 : x
  2. Step 2: Convert to fraction form
    7,506.84/10,357.95 = 4,149/x
  3. Step 3: Cross multiply
    7,506.84x = 10,357.95 × 4,149
  4. Step 4: Simplify right side
    7,506.84x = 42,975,134.55
  5. Step 5: Solve for x
    x = 42,975,134.55/7,506.84
  6. Step 6: Final answer
    x = 5,724.80

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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.