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Finding the Fourth Proportional to 10,515.80, 14,511.78 and 5,800.08

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Solution

The fourth proportional to 10,515.80, 14,511.78 and 5,800.08 is: 8,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.80 : 14,511.78 = 5,800.08 : x
  2. Step 2: Convert to fraction form
    10,515.80/14,511.78 = 5,800.08/x
  3. Step 3: Cross multiply
    10,515.80x = 14,511.78 × 5,800.08
  4. Step 4: Simplify right side
    10,515.80x = 84,169,484.94
  5. Step 5: Solve for x
    x = 84,169,484.94/10,515.80
  6. Step 6: Final answer
    x = 8,004.10

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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.