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Finding the Fourth Proportional to 10,513.15, 14,509.17 and 7,855.94

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Solution

The fourth proportional to 10,513.15, 14,509.17 and 7,855.94 is: 10,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.15 : 14,509.17 = 7,855.94 : x
  2. Step 2: Convert to fraction form
    10,513.15/14,509.17 = 7,855.94/x
  3. Step 3: Cross multiply
    10,513.15x = 14,509.17 × 7,855.94
  4. Step 4: Simplify right side
    10,513.15x = 113,983,205.24
  5. Step 5: Solve for x
    x = 113,983,205.24/10,513.15
  6. Step 6: Final answer
    x = 10,841.97

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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.