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Finding the Fourth Proportional to 10,174.51, 14,041.86 and 5,699.06

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Solution

The fourth proportional to 10,174.51, 14,041.86 and 5,699.06 is: 7,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.51 : 14,041.86 = 5,699.06 : x
  2. Step 2: Convert to fraction form
    10,174.51/14,041.86 = 5,699.06/x
  3. Step 3: Cross multiply
    10,174.51x = 14,041.86 × 5,699.06
  4. Step 4: Simplify right side
    10,174.51x = 80,025,363.73
  5. Step 5: Solve for x
    x = 80,025,363.73/10,174.51
  6. Step 6: Final answer
    x = 7,865.28

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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.