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Finding the Fourth Proportional to 10,294.30, 14,206.16 and 5,578.58

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Solution

The fourth proportional to 10,294.30, 14,206.16 and 5,578.58 is: 7,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.30 : 14,206.16 = 5,578.58 : x
  2. Step 2: Convert to fraction form
    10,294.30/14,206.16 = 5,578.58/x
  3. Step 3: Cross multiply
    10,294.30x = 14,206.16 × 5,578.58
  4. Step 4: Simplify right side
    10,294.30x = 79,250,200.05
  5. Step 5: Solve for x
    x = 79,250,200.05/10,294.30
  6. Step 6: Final answer
    x = 7,698.45

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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.