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Finding the Fourth Proportional to 10,367.66, 14,309.69 and 6,590.09

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Solution

The fourth proportional to 10,367.66, 14,309.69 and 6,590.09 is: 9,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.66 : 14,309.69 = 6,590.09 : x
  2. Step 2: Convert to fraction form
    10,367.66/14,309.69 = 6,590.09/x
  3. Step 3: Cross multiply
    10,367.66x = 14,309.69 × 6,590.09
  4. Step 4: Simplify right side
    10,367.66x = 94,302,040.47
  5. Step 5: Solve for x
    x = 94,302,040.47/10,367.66
  6. Step 6: Final answer
    x = 9,095.79

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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.