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Finding the Fourth Proportional to 10,607.62, 14,643.30 and 8,089.96

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Solution

The fourth proportional to 10,607.62, 14,643.30 and 8,089.96 is: 11,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.62 : 14,643.30 = 8,089.96 : x
  2. Step 2: Convert to fraction form
    10,607.62/14,643.30 = 8,089.96/x
  3. Step 3: Cross multiply
    10,607.62x = 14,643.30 × 8,089.96
  4. Step 4: Simplify right side
    10,607.62x = 118,463,711.27
  5. Step 5: Solve for x
    x = 118,463,711.27/10,607.62
  6. Step 6: Final answer
    x = 11,167.79

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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.