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Finding the Fourth Proportional to 11,758.32, 16,225.30 and 7,042.48

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Solution

The fourth proportional to 11,758.32, 16,225.30 and 7,042.48 is: 9,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.32 : 16,225.30 = 7,042.48 : x
  2. Step 2: Convert to fraction form
    11,758.32/16,225.30 = 7,042.48/x
  3. Step 3: Cross multiply
    11,758.32x = 16,225.30 × 7,042.48
  4. Step 4: Simplify right side
    11,758.32x = 114,266,350.74
  5. Step 5: Solve for x
    x = 114,266,350.74/11,758.32
  6. Step 6: Final answer
    x = 9,717.91

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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.