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Finding the Fourth Proportional to 8,036.59, 12,031.53 and 7,192.54

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Solution

The fourth proportional to 8,036.59, 12,031.53 and 7,192.54 is: 10,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.59 : 12,031.53 = 7,192.54 : x
  2. Step 2: Convert to fraction form
    8,036.59/12,031.53 = 7,192.54/x
  3. Step 3: Cross multiply
    8,036.59x = 12,031.53 × 7,192.54
  4. Step 4: Simplify right side
    8,036.59x = 86,537,224.82
  5. Step 5: Solve for x
    x = 86,537,224.82/8,036.59
  6. Step 6: Final answer
    x = 10,767.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.