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Finding the Fourth Proportional to 10,970.25, 16,455.57 and 3,574.68

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Solution

The fourth proportional to 10,970.25, 16,455.57 and 3,574.68 is: 5,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.25 : 16,455.57 = 3,574.68 : x
  2. Step 2: Convert to fraction form
    10,970.25/16,455.57 = 3,574.68/x
  3. Step 3: Cross multiply
    10,970.25x = 16,455.57 × 3,574.68
  4. Step 4: Simplify right side
    10,970.25x = 58,823,396.97
  5. Step 5: Solve for x
    x = 58,823,396.97/10,970.25
  6. Step 6: Final answer
    x = 5,362.08

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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.