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Finding the Fourth Proportional to 10,766.91, 14,862.90 and 10,094.34

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Solution

The fourth proportional to 10,766.91, 14,862.90 and 10,094.34 is: 13,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.91 : 14,862.90 = 10,094.34 : x
  2. Step 2: Convert to fraction form
    10,766.91/14,862.90 = 10,094.34/x
  3. Step 3: Cross multiply
    10,766.91x = 14,862.90 × 10,094.34
  4. Step 4: Simplify right side
    10,766.91x = 150,031,115.51
  5. Step 5: Solve for x
    x = 150,031,115.51/10,766.91
  6. Step 6: Final answer
    x = 13,934.46

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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.