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Finding the Fourth Proportional to 8,224.32, 11,345.72 and 5,390.94

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Solution

The fourth proportional to 8,224.32, 11,345.72 and 5,390.94 is: 7,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.32 : 11,345.72 = 5,390.94 : x
  2. Step 2: Convert to fraction form
    8,224.32/11,345.72 = 5,390.94/x
  3. Step 3: Cross multiply
    8,224.32x = 11,345.72 × 5,390.94
  4. Step 4: Simplify right side
    8,224.32x = 61,164,068.82
  5. Step 5: Solve for x
    x = 61,164,068.82/8,224.32
  6. Step 6: Final answer
    x = 7,436.98

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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.