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Finding the Fourth Proportional to 8,447.40, 11,655.54 and 5,302.44

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Solution

The fourth proportional to 8,447.40, 11,655.54 and 5,302.44 is: 7,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.40 : 11,655.54 = 5,302.44 : x
  2. Step 2: Convert to fraction form
    8,447.40/11,655.54 = 5,302.44/x
  3. Step 3: Cross multiply
    8,447.40x = 11,655.54 × 5,302.44
  4. Step 4: Simplify right side
    8,447.40x = 61,802,801.52
  5. Step 5: Solve for x
    x = 61,802,801.52/8,447.40
  6. Step 6: Final answer
    x = 7,316.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.