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Finding the Fourth Proportional to 8,034.59, 12,030.93 and 6,466.03

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Solution

The fourth proportional to 8,034.59, 12,030.93 and 6,466.03 is: 9,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.59 : 12,030.93 = 6,466.03 : x
  2. Step 2: Convert to fraction form
    8,034.59/12,030.93 = 6,466.03/x
  3. Step 3: Cross multiply
    8,034.59x = 12,030.93 × 6,466.03
  4. Step 4: Simplify right side
    8,034.59x = 77,792,324.23
  5. Step 5: Solve for x
    x = 77,792,324.23/8,034.59
  6. Step 6: Final answer
    x = 9,682.17

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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.