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Finding the Fourth Proportional to 10,427.72, 14,390.60 and 5,712

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Solution

The fourth proportional to 10,427.72, 14,390.60 and 5,712 is: 7,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.72 : 14,390.60 = 5,712 : x
  2. Step 2: Convert to fraction form
    10,427.72/14,390.60 = 5,712/x
  3. Step 3: Cross multiply
    10,427.72x = 14,390.60 × 5,712
  4. Step 4: Simplify right side
    10,427.72x = 82,199,107.20
  5. Step 5: Solve for x
    x = 82,199,107.20/10,427.72
  6. Step 6: Final answer
    x = 7,882.75

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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.