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Finding the Fourth Proportional to 11,444.32, 17,172.96 and 4,869.82

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Solution

The fourth proportional to 11,444.32, 17,172.96 and 4,869.82 is: 7,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.32 : 17,172.96 = 4,869.82 : x
  2. Step 2: Convert to fraction form
    11,444.32/17,172.96 = 4,869.82/x
  3. Step 3: Cross multiply
    11,444.32x = 17,172.96 × 4,869.82
  4. Step 4: Simplify right side
    11,444.32x = 83,629,224.07
  5. Step 5: Solve for x
    x = 83,629,224.07/11,444.32
  6. Step 6: Final answer
    x = 7,307.49

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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.