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Finding the Fourth Proportional to 8,442.36, 11,643.90 and 5,417.78

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Solution

The fourth proportional to 8,442.36, 11,643.90 and 5,417.78 is: 7,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.36 : 11,643.90 = 5,417.78 : x
  2. Step 2: Convert to fraction form
    8,442.36/11,643.90 = 5,417.78/x
  3. Step 3: Cross multiply
    8,442.36x = 11,643.90 × 5,417.78
  4. Step 4: Simplify right side
    8,442.36x = 63,084,030.32
  5. Step 5: Solve for x
    x = 63,084,030.32/8,442.36
  6. Step 6: Final answer
    x = 7,472.32

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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.