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Finding the Fourth Proportional to 7,570.40, 10,447.05 and 4,213.13

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Solution

The fourth proportional to 7,570.40, 10,447.05 and 4,213.13 is: 5,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.40 : 10,447.05 = 4,213.13 : x
  2. Step 2: Convert to fraction form
    7,570.40/10,447.05 = 4,213.13/x
  3. Step 3: Cross multiply
    7,570.40x = 10,447.05 × 4,213.13
  4. Step 4: Simplify right side
    7,570.40x = 44,014,727.53
  5. Step 5: Solve for x
    x = 44,014,727.53/7,570.40
  6. Step 6: Final answer
    x = 5,814.06

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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.