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Finding the Fourth Proportional to 7,411.88, 10,227.06 and 4,225.01

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Solution

The fourth proportional to 7,411.88, 10,227.06 and 4,225.01 is: 5,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.88 : 10,227.06 = 4,225.01 : x
  2. Step 2: Convert to fraction form
    7,411.88/10,227.06 = 4,225.01/x
  3. Step 3: Cross multiply
    7,411.88x = 10,227.06 × 4,225.01
  4. Step 4: Simplify right side
    7,411.88x = 43,209,379.64
  5. Step 5: Solve for x
    x = 43,209,379.64/7,411.88
  6. Step 6: Final answer
    x = 5,829.74

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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.