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Finding the Fourth Proportional to 7,529.61, 10,390.50 and 4,172.16

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Solution

The fourth proportional to 7,529.61, 10,390.50 and 4,172.16 is: 5,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529.61 : 10,390.50 = 4,172.16 : x
  2. Step 2: Convert to fraction form
    7,529.61/10,390.50 = 4,172.16/x
  3. Step 3: Cross multiply
    7,529.61x = 10,390.50 × 4,172.16
  4. Step 4: Simplify right side
    7,529.61x = 43,350,828.48
  5. Step 5: Solve for x
    x = 43,350,828.48/7,529.61
  6. Step 6: Final answer
    x = 5,757.38

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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.