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Finding the Fourth Proportional to 6,952.38, 10,416.02 and 4,606.83

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Solution

The fourth proportional to 6,952.38, 10,416.02 and 4,606.83 is: 6,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.38 : 10,416.02 = 4,606.83 : x
  2. Step 2: Convert to fraction form
    6,952.38/10,416.02 = 4,606.83/x
  3. Step 3: Cross multiply
    6,952.38x = 10,416.02 × 4,606.83
  4. Step 4: Simplify right side
    6,952.38x = 47,984,810.38
  5. Step 5: Solve for x
    x = 47,984,810.38/6,952.38
  6. Step 6: Final answer
    x = 6,901.93

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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.