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Finding the Fourth Proportional to 7,202, 10,807.20 and 3,041.76

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Solution

The fourth proportional to 7,202, 10,807.20 and 3,041.76 is: 4,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202 : 10,807.20 = 3,041.76 : x
  2. Step 2: Convert to fraction form
    7,202/10,807.20 = 3,041.76/x
  3. Step 3: Cross multiply
    7,202x = 10,807.20 × 3,041.76
  4. Step 4: Simplify right side
    7,202x = 32,872,908.67
  5. Step 5: Solve for x
    x = 32,872,908.67/7,202
  6. Step 6: Final answer
    x = 4,564.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.