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Finding the Fourth Proportional to 10,497.86, 14,486.68 and 5,782.11

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Solution

The fourth proportional to 10,497.86, 14,486.68 and 5,782.11 is: 7,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.86 : 14,486.68 = 5,782.11 : x
  2. Step 2: Convert to fraction form
    10,497.86/14,486.68 = 5,782.11/x
  3. Step 3: Cross multiply
    10,497.86x = 14,486.68 × 5,782.11
  4. Step 4: Simplify right side
    10,497.86x = 83,763,577.29
  5. Step 5: Solve for x
    x = 83,763,577.29/10,497.86
  6. Step 6: Final answer
    x = 7,979.11

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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.