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Finding the Fourth Proportional to 8,534, 11,777.10 and 4,808

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Solution

The fourth proportional to 8,534, 11,777.10 and 4,808 is: 6,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534 : 11,777.10 = 4,808 : x
  2. Step 2: Convert to fraction form
    8,534/11,777.10 = 4,808/x
  3. Step 3: Cross multiply
    8,534x = 11,777.10 × 4,808
  4. Step 4: Simplify right side
    8,534x = 56,624,296.80
  5. Step 5: Solve for x
    x = 56,624,296.80/8,534
  6. Step 6: Final answer
    x = 6,635.14

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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.