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Finding the Fourth Proportional to 8,166.96, 11,271.32 and 7,666.48

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Solution

The fourth proportional to 8,166.96, 11,271.32 and 7,666.48 is: 10,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.96 : 11,271.32 = 7,666.48 : x
  2. Step 2: Convert to fraction form
    8,166.96/11,271.32 = 7,666.48/x
  3. Step 3: Cross multiply
    8,166.96x = 11,271.32 × 7,666.48
  4. Step 4: Simplify right side
    8,166.96x = 86,411,349.35
  5. Step 5: Solve for x
    x = 86,411,349.35/8,166.96
  6. Step 6: Final answer
    x = 10,580.60

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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.