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Finding the Fourth Proportional to 7,053.76, 10,580.22 and 2,123.28

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Solution

The fourth proportional to 7,053.76, 10,580.22 and 2,123.28 is: 3,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.76 : 10,580.22 = 2,123.28 : x
  2. Step 2: Convert to fraction form
    7,053.76/10,580.22 = 2,123.28/x
  3. Step 3: Cross multiply
    7,053.76x = 10,580.22 × 2,123.28
  4. Step 4: Simplify right side
    7,053.76x = 22,464,769.52
  5. Step 5: Solve for x
    x = 22,464,769.52/7,053.76
  6. Step 6: Final answer
    x = 3,184.79

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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.