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Finding the Fourth Proportional to 7,658.37, 10,568.70 and 4,301.42

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Solution

The fourth proportional to 7,658.37, 10,568.70 and 4,301.42 is: 5,936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.37 : 10,568.70 = 4,301.42 : x
  2. Step 2: Convert to fraction form
    7,658.37/10,568.70 = 4,301.42/x
  3. Step 3: Cross multiply
    7,658.37x = 10,568.70 × 4,301.42
  4. Step 4: Simplify right side
    7,658.37x = 45,460,364.71
  5. Step 5: Solve for x
    x = 45,460,364.71/7,658.37
  6. Step 6: Final answer
    x = 5,936.04

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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.