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Finding the Fourth Proportional to 10,384.56, 14,328.36 and 6,192

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Solution

The fourth proportional to 10,384.56, 14,328.36 and 6,192 is: 8,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.56 : 14,328.36 = 6,192 : x
  2. Step 2: Convert to fraction form
    10,384.56/14,328.36 = 6,192/x
  3. Step 3: Cross multiply
    10,384.56x = 14,328.36 × 6,192
  4. Step 4: Simplify right side
    10,384.56x = 88,721,205.12
  5. Step 5: Solve for x
    x = 88,721,205.12/10,384.56
  6. Step 6: Final answer
    x = 8,543.57

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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.