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Finding the Fourth Proportional to 8,010.40, 11,983.20 and 7,038.40

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Solution

The fourth proportional to 8,010.40, 11,983.20 and 7,038.40 is: 10,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.40 : 11,983.20 = 7,038.40 : x
  2. Step 2: Convert to fraction form
    8,010.40/11,983.20 = 7,038.40/x
  3. Step 3: Cross multiply
    8,010.40x = 11,983.20 × 7,038.40
  4. Step 4: Simplify right side
    8,010.40x = 84,342,554.88
  5. Step 5: Solve for x
    x = 84,342,554.88/8,010.40
  6. Step 6: Final answer
    x = 10,529.13

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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.