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Finding the Fourth Proportional to 8,489.48, 11,715.06 and 4,762.76

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Solution

The fourth proportional to 8,489.48, 11,715.06 and 4,762.76 is: 6,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.48 : 11,715.06 = 4,762.76 : x
  2. Step 2: Convert to fraction form
    8,489.48/11,715.06 = 4,762.76/x
  3. Step 3: Cross multiply
    8,489.48x = 11,715.06 × 4,762.76
  4. Step 4: Simplify right side
    8,489.48x = 55,796,019.17
  5. Step 5: Solve for x
    x = 55,796,019.17/8,489.48
  6. Step 6: Final answer
    x = 6,572.37

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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.