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Finding the Fourth Proportional to 10,035.99, 13,851.96 and 6,678.94

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Solution

The fourth proportional to 10,035.99, 13,851.96 and 6,678.94 is: 9,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.99 : 13,851.96 = 6,678.94 : x
  2. Step 2: Convert to fraction form
    10,035.99/13,851.96 = 6,678.94/x
  3. Step 3: Cross multiply
    10,035.99x = 13,851.96 × 6,678.94
  4. Step 4: Simplify right side
    10,035.99x = 92,516,409.72
  5. Step 5: Solve for x
    x = 92,516,409.72/10,035.99
  6. Step 6: Final answer
    x = 9,218.47

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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.