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Finding the Fourth Proportional to 7,730.84, 11,593.86 and 4,031.12

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Solution

The fourth proportional to 7,730.84, 11,593.86 and 4,031.12 is: 6,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.84 : 11,593.86 = 4,031.12 : x
  2. Step 2: Convert to fraction form
    7,730.84/11,593.86 = 4,031.12/x
  3. Step 3: Cross multiply
    7,730.84x = 11,593.86 × 4,031.12
  4. Step 4: Simplify right side
    7,730.84x = 46,736,240.92
  5. Step 5: Solve for x
    x = 46,736,240.92/7,730.84
  6. Step 6: Final answer
    x = 6,045.43

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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.