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Finding the Fourth Proportional to 7,357.76, 11,028 and 3,461.12

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Solution

The fourth proportional to 7,357.76, 11,028 and 3,461.12 is: 5,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.76 : 11,028 = 3,461.12 : x
  2. Step 2: Convert to fraction form
    7,357.76/11,028 = 3,461.12/x
  3. Step 3: Cross multiply
    7,357.76x = 11,028 × 3,461.12
  4. Step 4: Simplify right side
    7,357.76x = 38,169,231.36
  5. Step 5: Solve for x
    x = 38,169,231.36/7,357.76
  6. Step 6: Final answer
    x = 5,187.62

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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.