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Finding the Fourth Proportional to 8,292.84, 11,444.04 and 4,756.20

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Solution

The fourth proportional to 8,292.84, 11,444.04 and 4,756.20 is: 6,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.84 : 11,444.04 = 4,756.20 : x
  2. Step 2: Convert to fraction form
    8,292.84/11,444.04 = 4,756.20/x
  3. Step 3: Cross multiply
    8,292.84x = 11,444.04 × 4,756.20
  4. Step 4: Simplify right side
    8,292.84x = 54,430,143.05
  5. Step 5: Solve for x
    x = 54,430,143.05/8,292.84
  6. Step 6: Final answer
    x = 6,563.51

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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.