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Finding the Fourth Proportional to 8,030.28, 12,035.04 and 6,471.02

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Solution

The fourth proportional to 8,030.28, 12,035.04 and 6,471.02 is: 9,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.28 : 12,035.04 = 6,471.02 : x
  2. Step 2: Convert to fraction form
    8,030.28/12,035.04 = 6,471.02/x
  3. Step 3: Cross multiply
    8,030.28x = 12,035.04 × 6,471.02
  4. Step 4: Simplify right side
    8,030.28x = 77,878,984.54
  5. Step 5: Solve for x
    x = 77,878,984.54/8,030.28
  6. Step 6: Final answer
    x = 9,698.17

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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.