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Finding the Fourth Proportional to 7,873.02, 11,808.90 and 5,526

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Solution

The fourth proportional to 7,873.02, 11,808.90 and 5,526 is: 8,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.02 : 11,808.90 = 5,526 : x
  2. Step 2: Convert to fraction form
    7,873.02/11,808.90 = 5,526/x
  3. Step 3: Cross multiply
    7,873.02x = 11,808.90 × 5,526
  4. Step 4: Simplify right side
    7,873.02x = 65,255,981.40
  5. Step 5: Solve for x
    x = 65,255,981.40/7,873.02
  6. Step 6: Final answer
    x = 8,288.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.