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Finding the Fourth Proportional to 8,771.44, 13,153.80 and 4,768

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Solution

The fourth proportional to 8,771.44, 13,153.80 and 4,768 is: 7,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.44 : 13,153.80 = 4,768 : x
  2. Step 2: Convert to fraction form
    8,771.44/13,153.80 = 4,768/x
  3. Step 3: Cross multiply
    8,771.44x = 13,153.80 × 4,768
  4. Step 4: Simplify right side
    8,771.44x = 62,717,318.40
  5. Step 5: Solve for x
    x = 62,717,318.40/8,771.44
  6. Step 6: Final answer
    x = 7,150.17

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Why These Related Problems?

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