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Finding the Fourth Proportional to 10,317.98, 14,238.84 and 5,602.25

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Solution

The fourth proportional to 10,317.98, 14,238.84 and 5,602.25 is: 7,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.98 : 14,238.84 = 5,602.25 : x
  2. Step 2: Convert to fraction form
    10,317.98/14,238.84 = 5,602.25/x
  3. Step 3: Cross multiply
    10,317.98x = 14,238.84 × 5,602.25
  4. Step 4: Simplify right side
    10,317.98x = 79,769,470.20
  5. Step 5: Solve for x
    x = 79,769,470.20/10,317.98
  6. Step 6: Final answer
    x = 7,731.12

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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.