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Finding the Fourth Proportional to 10,142.59, 13,995.98 and 5,605.08

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Solution

The fourth proportional to 10,142.59, 13,995.98 and 5,605.08 is: 7,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.59 : 13,995.98 = 5,605.08 : x
  2. Step 2: Convert to fraction form
    10,142.59/13,995.98 = 5,605.08/x
  3. Step 3: Cross multiply
    10,142.59x = 13,995.98 × 5,605.08
  4. Step 4: Simplify right side
    10,142.59x = 78,448,580.57
  5. Step 5: Solve for x
    x = 78,448,580.57/10,142.59
  6. Step 6: Final answer
    x = 7,734.57

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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.