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Finding the Fourth Proportional to 10,730.69, 16,052.25 and 8,653.04

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Solution

The fourth proportional to 10,730.69, 16,052.25 and 8,653.04 is: 12,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.69 : 16,052.25 = 8,653.04 : x
  2. Step 2: Convert to fraction form
    10,730.69/16,052.25 = 8,653.04/x
  3. Step 3: Cross multiply
    10,730.69x = 16,052.25 × 8,653.04
  4. Step 4: Simplify right side
    10,730.69x = 138,900,681.08
  5. Step 5: Solve for x
    x = 138,900,681.08/10,730.69
  6. Step 6: Final answer
    x = 12,944.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.