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Finding the Fourth Proportional to 7,411.42, 10,222.23 and 5,429.98

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Solution

The fourth proportional to 7,411.42, 10,222.23 and 5,429.98 is: 7,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.42 : 10,222.23 = 5,429.98 : x
  2. Step 2: Convert to fraction form
    7,411.42/10,222.23 = 5,429.98/x
  3. Step 3: Cross multiply
    7,411.42x = 10,222.23 × 5,429.98
  4. Step 4: Simplify right side
    7,411.42x = 55,506,504.46
  5. Step 5: Solve for x
    x = 55,506,504.46/7,411.42
  6. Step 6: Final answer
    x = 7,489.32

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Why These Related Problems?

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