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Finding the Fourth Proportional to 8,526.53, 11,776.46 and 5,688.99

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Solution

The fourth proportional to 8,526.53, 11,776.46 and 5,688.99 is: 7,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.53 : 11,776.46 = 5,688.99 : x
  2. Step 2: Convert to fraction form
    8,526.53/11,776.46 = 5,688.99/x
  3. Step 3: Cross multiply
    8,526.53x = 11,776.46 × 5,688.99
  4. Step 4: Simplify right side
    8,526.53x = 66,996,134.73
  5. Step 5: Solve for x
    x = 66,996,134.73/8,526.53
  6. Step 6: Final answer
    x = 7,857.37

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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.