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Finding the Fourth Proportional to 10,513.56, 14,508.45 and 5,733.30

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Solution

The fourth proportional to 10,513.56, 14,508.45 and 5,733.30 is: 7,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.56 : 14,508.45 = 5,733.30 : x
  2. Step 2: Convert to fraction form
    10,513.56/14,508.45 = 5,733.30/x
  3. Step 3: Cross multiply
    10,513.56x = 14,508.45 × 5,733.30
  4. Step 4: Simplify right side
    10,513.56x = 83,181,296.39
  5. Step 5: Solve for x
    x = 83,181,296.39/10,513.56
  6. Step 6: Final answer
    x = 7,911.81

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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.