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Finding the Fourth Proportional to 10,467.43, 15,763.06 and 7,566.01

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Solution

The fourth proportional to 10,467.43, 15,763.06 and 7,566.01 is: 11,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.43 : 15,763.06 = 7,566.01 : x
  2. Step 2: Convert to fraction form
    10,467.43/15,763.06 = 7,566.01/x
  3. Step 3: Cross multiply
    10,467.43x = 15,763.06 × 7,566.01
  4. Step 4: Simplify right side
    10,467.43x = 119,263,469.59
  5. Step 5: Solve for x
    x = 119,263,469.59/10,467.43
  6. Step 6: Final answer
    x = 11,393.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.