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Finding the Fourth Proportional to 11,396.64, 15,728.40 and 7,148.34

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Solution

The fourth proportional to 11,396.64, 15,728.40 and 7,148.34 is: 9,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.64 : 15,728.40 = 7,148.34 : x
  2. Step 2: Convert to fraction form
    11,396.64/15,728.40 = 7,148.34/x
  3. Step 3: Cross multiply
    11,396.64x = 15,728.40 × 7,148.34
  4. Step 4: Simplify right side
    11,396.64x = 112,431,950.86
  5. Step 5: Solve for x
    x = 112,431,950.86/11,396.64
  6. Step 6: Final answer
    x = 9,865.36

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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.