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Finding the Fourth Proportional to 8,526.30, 11,766.66 and 4,749.47

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Solution

The fourth proportional to 8,526.30, 11,766.66 and 4,749.47 is: 6,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.30 : 11,766.66 = 4,749.47 : x
  2. Step 2: Convert to fraction form
    8,526.30/11,766.66 = 4,749.47/x
  3. Step 3: Cross multiply
    8,526.30x = 11,766.66 × 4,749.47
  4. Step 4: Simplify right side
    8,526.30x = 55,885,446.75
  5. Step 5: Solve for x
    x = 55,885,446.75/8,526.30
  6. Step 6: Final answer
    x = 6,554.47

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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.