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Finding the Fourth Proportional to 8,083.74, 12,127.86 and 3,697.50

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Solution

The fourth proportional to 8,083.74, 12,127.86 and 3,697.50 is: 5,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.74 : 12,127.86 = 3,697.50 : x
  2. Step 2: Convert to fraction form
    8,083.74/12,127.86 = 3,697.50/x
  3. Step 3: Cross multiply
    8,083.74x = 12,127.86 × 3,697.50
  4. Step 4: Simplify right side
    8,083.74x = 44,842,762.35
  5. Step 5: Solve for x
    x = 44,842,762.35/8,083.74
  6. Step 6: Final answer
    x = 5,547.28

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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.