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Finding the Fourth Proportional to 11,210, 15,464.60 and 7,232.39

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Solution

The fourth proportional to 11,210, 15,464.60 and 7,232.39 is: 9,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210 : 15,464.60 = 7,232.39 : x
  2. Step 2: Convert to fraction form
    11,210/15,464.60 = 7,232.39/x
  3. Step 3: Cross multiply
    11,210x = 15,464.60 × 7,232.39
  4. Step 4: Simplify right side
    11,210x = 111,846,036.47
  5. Step 5: Solve for x
    x = 111,846,036.47/11,210
  6. Step 6: Final answer
    x = 9,977.34

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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.