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Finding the Fourth Proportional to 7,036.38, 9,710.40 and 3,892.77

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Solution

The fourth proportional to 7,036.38, 9,710.40 and 3,892.77 is: 5,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.38 : 9,710.40 = 3,892.77 : x
  2. Step 2: Convert to fraction form
    7,036.38/9,710.40 = 3,892.77/x
  3. Step 3: Cross multiply
    7,036.38x = 9,710.40 × 3,892.77
  4. Step 4: Simplify right side
    7,036.38x = 37,800,353.81
  5. Step 5: Solve for x
    x = 37,800,353.81/7,036.38
  6. Step 6: Final answer
    x = 5,372.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.