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Finding the Fourth Proportional to 8,534.72, 11,776.56 and 4,808

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Solution

The fourth proportional to 8,534.72, 11,776.56 and 4,808 is: 6,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.72 : 11,776.56 = 4,808 : x
  2. Step 2: Convert to fraction form
    8,534.72/11,776.56 = 4,808/x
  3. Step 3: Cross multiply
    8,534.72x = 11,776.56 × 4,808
  4. Step 4: Simplify right side
    8,534.72x = 56,621,700.48
  5. Step 5: Solve for x
    x = 56,621,700.48/8,534.72
  6. Step 6: Final answer
    x = 6,634.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.