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Finding the Fourth Proportional to 8,035.06, 12,031.63 and 6,466.50

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Solution

The fourth proportional to 8,035.06, 12,031.63 and 6,466.50 is: 9,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.06 : 12,031.63 = 6,466.50 : x
  2. Step 2: Convert to fraction form
    8,035.06/12,031.63 = 6,466.50/x
  3. Step 3: Cross multiply
    8,035.06x = 12,031.63 × 6,466.50
  4. Step 4: Simplify right side
    8,035.06x = 77,802,510.48
  5. Step 5: Solve for x
    x = 77,802,510.48/8,035.06
  6. Step 6: Final answer
    x = 9,682.88

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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.