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Finding the Fourth Proportional to 8,237.41, 11,368.52 and 5,407.07

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Solution

The fourth proportional to 8,237.41, 11,368.52 and 5,407.07 is: 7,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.41 : 11,368.52 = 5,407.07 : x
  2. Step 2: Convert to fraction form
    8,237.41/11,368.52 = 5,407.07/x
  3. Step 3: Cross multiply
    8,237.41x = 11,368.52 × 5,407.07
  4. Step 4: Simplify right side
    8,237.41x = 61,470,299.56
  5. Step 5: Solve for x
    x = 61,470,299.56/8,237.41
  6. Step 6: Final answer
    x = 7,462.34

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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.