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Finding the Fourth Proportional to 10,367.16, 14,309 and 6,589.59

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Solution

The fourth proportional to 10,367.16, 14,309 and 6,589.59 is: 9,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.16 : 14,309 = 6,589.59 : x
  2. Step 2: Convert to fraction form
    10,367.16/14,309 = 6,589.59/x
  3. Step 3: Cross multiply
    10,367.16x = 14,309 × 6,589.59
  4. Step 4: Simplify right side
    10,367.16x = 94,290,443.31
  5. Step 5: Solve for x
    x = 94,290,443.31/10,367.16
  6. Step 6: Final answer
    x = 9,095.11

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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.