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Finding the Fourth Proportional to 8,270.02, 12,407.06 and 4,111.99

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Solution

The fourth proportional to 8,270.02, 12,407.06 and 4,111.99 is: 6,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.02 : 12,407.06 = 4,111.99 : x
  2. Step 2: Convert to fraction form
    8,270.02/12,407.06 = 4,111.99/x
  3. Step 3: Cross multiply
    8,270.02x = 12,407.06 × 4,111.99
  4. Step 4: Simplify right side
    8,270.02x = 51,017,655.07
  5. Step 5: Solve for x
    x = 51,017,655.07/8,270.02
  6. Step 6: Final answer
    x = 6,168.99

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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.