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Finding the Fourth Proportional to 10,462.57, 14,426.15 and 7,805.36

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Solution

The fourth proportional to 10,462.57, 14,426.15 and 7,805.36 is: 10,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.57 : 14,426.15 = 7,805.36 : x
  2. Step 2: Convert to fraction form
    10,462.57/14,426.15 = 7,805.36/x
  3. Step 3: Cross multiply
    10,462.57x = 14,426.15 × 7,805.36
  4. Step 4: Simplify right side
    10,462.57x = 112,601,335.11
  5. Step 5: Solve for x
    x = 112,601,335.11/10,462.57
  6. Step 6: Final answer
    x = 10,762.30

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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.