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Finding the Fourth Proportional to 8,359, 11,535.48 and 4,633

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Solution

The fourth proportional to 8,359, 11,535.48 and 4,633 is: 6,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359 : 11,535.48 = 4,633 : x
  2. Step 2: Convert to fraction form
    8,359/11,535.48 = 4,633/x
  3. Step 3: Cross multiply
    8,359x = 11,535.48 × 4,633
  4. Step 4: Simplify right side
    8,359x = 53,443,878.84
  5. Step 5: Solve for x
    x = 53,443,878.84/8,359
  6. Step 6: Final answer
    x = 6,393.57

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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.