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Finding the Fourth Proportional to 8,289.55, 11,440.70 and 5,637.81

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Solution

The fourth proportional to 8,289.55, 11,440.70 and 5,637.81 is: 7,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.55 : 11,440.70 = 5,637.81 : x
  2. Step 2: Convert to fraction form
    8,289.55/11,440.70 = 5,637.81/x
  3. Step 3: Cross multiply
    8,289.55x = 11,440.70 × 5,637.81
  4. Step 4: Simplify right side
    8,289.55x = 64,500,492.87
  5. Step 5: Solve for x
    x = 64,500,492.87/8,289.55
  6. Step 6: Final answer
    x = 7,780.94

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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.