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Finding the Fourth Proportional to 8,486.56, 11,710.02 and 4,901.14

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Solution

The fourth proportional to 8,486.56, 11,710.02 and 4,901.14 is: 6,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.56 : 11,710.02 = 4,901.14 : x
  2. Step 2: Convert to fraction form
    8,486.56/11,710.02 = 4,901.14/x
  3. Step 3: Cross multiply
    8,486.56x = 11,710.02 × 4,901.14
  4. Step 4: Simplify right side
    8,486.56x = 57,392,447.42
  5. Step 5: Solve for x
    x = 57,392,447.42/8,486.56
  6. Step 6: Final answer
    x = 6,762.75

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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.