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Finding the Fourth Proportional to 8,083.48, 12,130.40 and 5,315.72

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Solution

The fourth proportional to 8,083.48, 12,130.40 and 5,315.72 is: 7,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.48 : 12,130.40 = 5,315.72 : x
  2. Step 2: Convert to fraction form
    8,083.48/12,130.40 = 5,315.72/x
  3. Step 3: Cross multiply
    8,083.48x = 12,130.40 × 5,315.72
  4. Step 4: Simplify right side
    8,083.48x = 64,481,809.89
  5. Step 5: Solve for x
    x = 64,481,809.89/8,083.48
  6. Step 6: Final answer
    x = 7,976.99

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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.