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Finding the Fourth Proportional to 10,355.24, 14,281.78 and 6,369.20

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Solution

The fourth proportional to 10,355.24, 14,281.78 and 6,369.20 is: 8,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.24 : 14,281.78 = 6,369.20 : x
  2. Step 2: Convert to fraction form
    10,355.24/14,281.78 = 6,369.20/x
  3. Step 3: Cross multiply
    10,355.24x = 14,281.78 × 6,369.20
  4. Step 4: Simplify right side
    10,355.24x = 90,963,425.84
  5. Step 5: Solve for x
    x = 90,963,425.84/10,355.24
  6. Step 6: Final answer
    x = 8,784.29

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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.