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Finding the Fourth Proportional to 8,006.40, 12,014.28 and 5,783.04

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Solution

The fourth proportional to 8,006.40, 12,014.28 and 5,783.04 is: 8,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.40 : 12,014.28 = 5,783.04 : x
  2. Step 2: Convert to fraction form
    8,006.40/12,014.28 = 5,783.04/x
  3. Step 3: Cross multiply
    8,006.40x = 12,014.28 × 5,783.04
  4. Step 4: Simplify right side
    8,006.40x = 69,479,061.81
  5. Step 5: Solve for x
    x = 69,479,061.81/8,006.40
  6. Step 6: Final answer
    x = 8,677.94

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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.