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Finding the Fourth Proportional to 7,407.17, 10,223.01 and 4,219.70

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Solution

The fourth proportional to 7,407.17, 10,223.01 and 4,219.70 is: 5,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.17 : 10,223.01 = 4,219.70 : x
  2. Step 2: Convert to fraction form
    7,407.17/10,223.01 = 4,219.70/x
  3. Step 3: Cross multiply
    7,407.17x = 10,223.01 × 4,219.70
  4. Step 4: Simplify right side
    7,407.17x = 43,137,984.18
  5. Step 5: Solve for x
    x = 43,137,984.18/7,407.17
  6. Step 6: Final answer
    x = 5,823.81

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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.