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Finding the Fourth Proportional to 7,156.81, 9,874.76 and 4,502.56

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Solution

The fourth proportional to 7,156.81, 9,874.76 and 4,502.56 is: 6,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.81 : 9,874.76 = 4,502.56 : x
  2. Step 2: Convert to fraction form
    7,156.81/9,874.76 = 4,502.56/x
  3. Step 3: Cross multiply
    7,156.81x = 9,874.76 × 4,502.56
  4. Step 4: Simplify right side
    7,156.81x = 44,461,723.80
  5. Step 5: Solve for x
    x = 44,461,723.80/7,156.81
  6. Step 6: Final answer
    x = 6,212.51

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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.