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Finding the Fourth Proportional to 10,700.40, 14,766.12 and 6,224.28

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Solution

The fourth proportional to 10,700.40, 14,766.12 and 6,224.28 is: 8,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.40 : 14,766.12 = 6,224.28 : x
  2. Step 2: Convert to fraction form
    10,700.40/14,766.12 = 6,224.28/x
  3. Step 3: Cross multiply
    10,700.40x = 14,766.12 × 6,224.28
  4. Step 4: Simplify right side
    10,700.40x = 91,908,465.39
  5. Step 5: Solve for x
    x = 91,908,465.39/10,700.40
  6. Step 6: Final answer
    x = 8,589.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.