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Finding the Fourth Proportional to 7,871.04, 11,806.58 and 7,389.90

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Solution

The fourth proportional to 7,871.04, 11,806.58 and 7,389.90 is: 11,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.04 : 11,806.58 = 7,389.90 : x
  2. Step 2: Convert to fraction form
    7,871.04/11,806.58 = 7,389.90/x
  3. Step 3: Cross multiply
    7,871.04x = 11,806.58 × 7,389.90
  4. Step 4: Simplify right side
    7,871.04x = 87,249,445.54
  5. Step 5: Solve for x
    x = 87,249,445.54/7,871.04
  6. Step 6: Final answer
    x = 11,084.87

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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.