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Finding the Fourth Proportional to 8,329.42, 11,483.01 and 5,807.86

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Solution

The fourth proportional to 8,329.42, 11,483.01 and 5,807.86 is: 8,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.42 : 11,483.01 = 5,807.86 : x
  2. Step 2: Convert to fraction form
    8,329.42/11,483.01 = 5,807.86/x
  3. Step 3: Cross multiply
    8,329.42x = 11,483.01 × 5,807.86
  4. Step 4: Simplify right side
    8,329.42x = 66,691,714.46
  5. Step 5: Solve for x
    x = 66,691,714.46/8,329.42
  6. Step 6: Final answer
    x = 8,006.77

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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.