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Finding the Fourth Proportional to 10,365.98, 14,307.71 and 5,891.18

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Solution

The fourth proportional to 10,365.98, 14,307.71 and 5,891.18 is: 8,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.98 : 14,307.71 = 5,891.18 : x
  2. Step 2: Convert to fraction form
    10,365.98/14,307.71 = 5,891.18/x
  3. Step 3: Cross multiply
    10,365.98x = 14,307.71 × 5,891.18
  4. Step 4: Simplify right side
    10,365.98x = 84,289,194.00
  5. Step 5: Solve for x
    x = 84,289,194.00/10,365.98
  6. Step 6: Final answer
    x = 8,131.33

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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.