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Finding the Fourth Proportional to 10,427.58, 14,391.10 and 5,952.01

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Solution

The fourth proportional to 10,427.58, 14,391.10 and 5,952.01 is: 8,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.58 : 14,391.10 = 5,952.01 : x
  2. Step 2: Convert to fraction form
    10,427.58/14,391.10 = 5,952.01/x
  3. Step 3: Cross multiply
    10,427.58x = 14,391.10 × 5,952.01
  4. Step 4: Simplify right side
    10,427.58x = 85,655,971.11
  5. Step 5: Solve for x
    x = 85,655,971.11/10,427.58
  6. Step 6: Final answer
    x = 8,214.37

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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.