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Finding the Fourth Proportional to 8,533, 11,775.54 and 4,807

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Solution

The fourth proportional to 8,533, 11,775.54 and 4,807 is: 6,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533 : 11,775.54 = 4,807 : x
  2. Step 2: Convert to fraction form
    8,533/11,775.54 = 4,807/x
  3. Step 3: Cross multiply
    8,533x = 11,775.54 × 4,807
  4. Step 4: Simplify right side
    8,533x = 56,605,020.78
  5. Step 5: Solve for x
    x = 56,605,020.78/8,533
  6. Step 6: Final answer
    x = 6,633.66

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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.