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Finding the Fourth Proportional to 11,447.44, 17,152.80 and 6,502.40

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Solution

The fourth proportional to 11,447.44, 17,152.80 and 6,502.40 is: 9,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.44 : 17,152.80 = 6,502.40 : x
  2. Step 2: Convert to fraction form
    11,447.44/17,152.80 = 6,502.40/x
  3. Step 3: Cross multiply
    11,447.44x = 17,152.80 × 6,502.40
  4. Step 4: Simplify right side
    11,447.44x = 111,534,366.72
  5. Step 5: Solve for x
    x = 111,534,366.72/11,447.44
  6. Step 6: Final answer
    x = 9,743.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.