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Finding the Fourth Proportional to 7,871.44, 11,803.38 and 4,585.46

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Solution

The fourth proportional to 7,871.44, 11,803.38 and 4,585.46 is: 6,875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.44 : 11,803.38 = 4,585.46 : x
  2. Step 2: Convert to fraction form
    7,871.44/11,803.38 = 4,585.46/x
  3. Step 3: Cross multiply
    7,871.44x = 11,803.38 × 4,585.46
  4. Step 4: Simplify right side
    7,871.44x = 54,123,926.85
  5. Step 5: Solve for x
    x = 54,123,926.85/7,871.44
  6. Step 6: Final answer
    x = 6,875.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.