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Finding the Fourth Proportional to 7,842.02, 10,808.52 and 7,472.93

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Solution

The fourth proportional to 7,842.02, 10,808.52 and 7,472.93 is: 10,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.02 : 10,808.52 = 7,472.93 : x
  2. Step 2: Convert to fraction form
    7,842.02/10,808.52 = 7,472.93/x
  3. Step 3: Cross multiply
    7,842.02x = 10,808.52 × 7,472.93
  4. Step 4: Simplify right side
    7,842.02x = 80,771,313.36
  5. Step 5: Solve for x
    x = 80,771,313.36/7,842.02
  6. Step 6: Final answer
    x = 10,299.81

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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.