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Finding the Fourth Proportional to 10,746.99, 16,097.12 and 6,574.38

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Solution

The fourth proportional to 10,746.99, 16,097.12 and 6,574.38 is: 9,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746.99 : 16,097.12 = 6,574.38 : x
  2. Step 2: Convert to fraction form
    10,746.99/16,097.12 = 6,574.38/x
  3. Step 3: Cross multiply
    10,746.99x = 16,097.12 × 6,574.38
  4. Step 4: Simplify right side
    10,746.99x = 105,828,550.91
  5. Step 5: Solve for x
    x = 105,828,550.91/10,746.99
  6. Step 6: Final answer
    x = 9,847.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.