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Finding the Fourth Proportional to 10,824.99, 14,932.98 and 6,574.92

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Solution

The fourth proportional to 10,824.99, 14,932.98 and 6,574.92 is: 9,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.99 : 14,932.98 = 6,574.92 : x
  2. Step 2: Convert to fraction form
    10,824.99/14,932.98 = 6,574.92/x
  3. Step 3: Cross multiply
    10,824.99x = 14,932.98 × 6,574.92
  4. Step 4: Simplify right side
    10,824.99x = 98,183,148.86
  5. Step 5: Solve for x
    x = 98,183,148.86/10,824.99
  6. Step 6: Final answer
    x = 9,070.05

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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.