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Finding the Fourth Proportional to 10,513.44, 14,507.82 and 5,798.03

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Solution

The fourth proportional to 10,513.44, 14,507.82 and 5,798.03 is: 8,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.44 : 14,507.82 = 5,798.03 : x
  2. Step 2: Convert to fraction form
    10,513.44/14,507.82 = 5,798.03/x
  3. Step 3: Cross multiply
    10,513.44x = 14,507.82 × 5,798.03
  4. Step 4: Simplify right side
    10,513.44x = 84,116,703.06
  5. Step 5: Solve for x
    x = 84,116,703.06/10,513.44
  6. Step 6: Final answer
    x = 8,000.87

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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.