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Finding the Fourth Proportional to 8,666.34, 11,953.08 and 5,978.40

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Solution

The fourth proportional to 8,666.34, 11,953.08 and 5,978.40 is: 8,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.34 : 11,953.08 = 5,978.40 : x
  2. Step 2: Convert to fraction form
    8,666.34/11,953.08 = 5,978.40/x
  3. Step 3: Cross multiply
    8,666.34x = 11,953.08 × 5,978.40
  4. Step 4: Simplify right side
    8,666.34x = 71,460,293.47
  5. Step 5: Solve for x
    x = 71,460,293.47/8,666.34
  6. Step 6: Final answer
    x = 8,245.73

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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.