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Finding the Fourth Proportional to 8,223.68, 11,349.76 and 4,686.08

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Solution

The fourth proportional to 8,223.68, 11,349.76 and 4,686.08 is: 6,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.68 : 11,349.76 = 4,686.08 : x
  2. Step 2: Convert to fraction form
    8,223.68/11,349.76 = 4,686.08/x
  3. Step 3: Cross multiply
    8,223.68x = 11,349.76 × 4,686.08
  4. Step 4: Simplify right side
    8,223.68x = 53,185,883.34
  5. Step 5: Solve for x
    x = 53,185,883.34/8,223.68
  6. Step 6: Final answer
    x = 6,467.41

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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.