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Finding the Fourth Proportional to 10,427.95, 14,395.23 and 6,656.11

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Solution

The fourth proportional to 10,427.95, 14,395.23 and 6,656.11 is: 9,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.95 : 14,395.23 = 6,656.11 : x
  2. Step 2: Convert to fraction form
    10,427.95/14,395.23 = 6,656.11/x
  3. Step 3: Cross multiply
    10,427.95x = 14,395.23 × 6,656.11
  4. Step 4: Simplify right side
    10,427.95x = 95,816,234.36
  5. Step 5: Solve for x
    x = 95,816,234.36/10,427.95
  6. Step 6: Final answer
    x = 9,188.41

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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.