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Finding the Fourth Proportional to 10,975.58, 16,459.23 and 3,578.30

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Solution

The fourth proportional to 10,975.58, 16,459.23 and 3,578.30 is: 5,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.58 : 16,459.23 = 3,578.30 : x
  2. Step 2: Convert to fraction form
    10,975.58/16,459.23 = 3,578.30/x
  3. Step 3: Cross multiply
    10,975.58x = 16,459.23 × 3,578.30
  4. Step 4: Simplify right side
    10,975.58x = 58,896,062.71
  5. Step 5: Solve for x
    x = 58,896,062.71/10,975.58
  6. Step 6: Final answer
    x = 5,366.10

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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.