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Finding the Fourth Proportional to 7,977.21, 11,011.02 and 5,458.38

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Solution

The fourth proportional to 7,977.21, 11,011.02 and 5,458.38 is: 7,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.21 : 11,011.02 = 5,458.38 : x
  2. Step 2: Convert to fraction form
    7,977.21/11,011.02 = 5,458.38/x
  3. Step 3: Cross multiply
    7,977.21x = 11,011.02 × 5,458.38
  4. Step 4: Simplify right side
    7,977.21x = 60,102,331.35
  5. Step 5: Solve for x
    x = 60,102,331.35/7,977.21
  6. Step 6: Final answer
    x = 7,534.25

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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.