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Finding the Fourth Proportional to 8,038.80, 12,071.58 and 5,423.14

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Solution

The fourth proportional to 8,038.80, 12,071.58 and 5,423.14 is: 8,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.80 : 12,071.58 = 5,423.14 : x
  2. Step 2: Convert to fraction form
    8,038.80/12,071.58 = 5,423.14/x
  3. Step 3: Cross multiply
    8,038.80x = 12,071.58 × 5,423.14
  4. Step 4: Simplify right side
    8,038.80x = 65,465,868.36
  5. Step 5: Solve for x
    x = 65,465,868.36/8,038.80
  6. Step 6: Final answer
    x = 8,143.74

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