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Finding the Fourth Proportional to 7,409.67, 10,225.30 and 4,052.42

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Solution

The fourth proportional to 7,409.67, 10,225.30 and 4,052.42 is: 5,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.67 : 10,225.30 = 4,052.42 : x
  2. Step 2: Convert to fraction form
    7,409.67/10,225.30 = 4,052.42/x
  3. Step 3: Cross multiply
    7,409.67x = 10,225.30 × 4,052.42
  4. Step 4: Simplify right side
    7,409.67x = 41,437,210.23
  5. Step 5: Solve for x
    x = 41,437,210.23/7,409.67
  6. Step 6: Final answer
    x = 5,592.32

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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.