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Finding the Fourth Proportional to 11,658.03, 16,089.69 and 6,624.30

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Solution

The fourth proportional to 11,658.03, 16,089.69 and 6,624.30 is: 9,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.03 : 16,089.69 = 6,624.30 : x
  2. Step 2: Convert to fraction form
    11,658.03/16,089.69 = 6,624.30/x
  3. Step 3: Cross multiply
    11,658.03x = 16,089.69 × 6,624.30
  4. Step 4: Simplify right side
    11,658.03x = 106,582,933.47
  5. Step 5: Solve for x
    x = 106,582,933.47/11,658.03
  6. Step 6: Final answer
    x = 9,142.45

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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.