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Finding the Fourth Proportional to 8,014.02, 11,059.31 and 4,658.81

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Solution

The fourth proportional to 8,014.02, 11,059.31 and 4,658.81 is: 6,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.02 : 11,059.31 = 4,658.81 : x
  2. Step 2: Convert to fraction form
    8,014.02/11,059.31 = 4,658.81/x
  3. Step 3: Cross multiply
    8,014.02x = 11,059.31 × 4,658.81
  4. Step 4: Simplify right side
    8,014.02x = 51,523,145.43
  5. Step 5: Solve for x
    x = 51,523,145.43/8,014.02
  6. Step 6: Final answer
    x = 6,429.13

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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.