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Finding the Fourth Proportional to 10,420.80, 14,384.04 and 6,171.60

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Solution

The fourth proportional to 10,420.80, 14,384.04 and 6,171.60 is: 8,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.80 : 14,384.04 = 6,171.60 : x
  2. Step 2: Convert to fraction form
    10,420.80/14,384.04 = 6,171.60/x
  3. Step 3: Cross multiply
    10,420.80x = 14,384.04 × 6,171.60
  4. Step 4: Simplify right side
    10,420.80x = 88,772,541.26
  5. Step 5: Solve for x
    x = 88,772,541.26/10,420.80
  6. Step 6: Final answer
    x = 8,518.78

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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.