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Finding the Fourth Proportional to 10,192.53, 14,059.72 and 6,409.70

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Solution

The fourth proportional to 10,192.53, 14,059.72 and 6,409.70 is: 8,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.53 : 14,059.72 = 6,409.70 : x
  2. Step 2: Convert to fraction form
    10,192.53/14,059.72 = 6,409.70/x
  3. Step 3: Cross multiply
    10,192.53x = 14,059.72 × 6,409.70
  4. Step 4: Simplify right side
    10,192.53x = 90,118,587.28
  5. Step 5: Solve for x
    x = 90,118,587.28/10,192.53
  6. Step 6: Final answer
    x = 8,841.63

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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.