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Finding the Fourth Proportional to 10,191.16, 14,063.96 and 5,653.81

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Solution

The fourth proportional to 10,191.16, 14,063.96 and 5,653.81 is: 7,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.16 : 14,063.96 = 5,653.81 : x
  2. Step 2: Convert to fraction form
    10,191.16/14,063.96 = 5,653.81/x
  3. Step 3: Cross multiply
    10,191.16x = 14,063.96 × 5,653.81
  4. Step 4: Simplify right side
    10,191.16x = 79,514,929.42
  5. Step 5: Solve for x
    x = 79,514,929.42/10,191.16
  6. Step 6: Final answer
    x = 7,802.34

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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.