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Finding the Fourth Proportional to 8,223.54, 11,345.82 and 4,686.08

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Solution

The fourth proportional to 8,223.54, 11,345.82 and 4,686.08 is: 6,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.54 : 11,345.82 = 4,686.08 : x
  2. Step 2: Convert to fraction form
    8,223.54/11,345.82 = 4,686.08/x
  3. Step 3: Cross multiply
    8,223.54x = 11,345.82 × 4,686.08
  4. Step 4: Simplify right side
    8,223.54x = 53,167,420.19
  5. Step 5: Solve for x
    x = 53,167,420.19/8,223.54
  6. Step 6: Final answer
    x = 6,465.27

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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.