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Finding the Fourth Proportional to 10,507.01, 14,499.63 and 5,791.28

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Solution

The fourth proportional to 10,507.01, 14,499.63 and 5,791.28 is: 7,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.01 : 14,499.63 = 5,791.28 : x
  2. Step 2: Convert to fraction form
    10,507.01/14,499.63 = 5,791.28/x
  3. Step 3: Cross multiply
    10,507.01x = 14,499.63 × 5,791.28
  4. Step 4: Simplify right side
    10,507.01x = 83,971,417.23
  5. Step 5: Solve for x
    x = 83,971,417.23/10,507.01
  6. Step 6: Final answer
    x = 7,991.94

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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.