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Finding the Fourth Proportional to 8,302.42, 11,464.68 and 5,656.24

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Solution

The fourth proportional to 8,302.42, 11,464.68 and 5,656.24 is: 7,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.42 : 11,464.68 = 5,656.24 : x
  2. Step 2: Convert to fraction form
    8,302.42/11,464.68 = 5,656.24/x
  3. Step 3: Cross multiply
    8,302.42x = 11,464.68 × 5,656.24
  4. Step 4: Simplify right side
    8,302.42x = 64,846,981.60
  5. Step 5: Solve for x
    x = 64,846,981.60/8,302.42
  6. Step 6: Final answer
    x = 7,810.61

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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.