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Finding the Fourth Proportional to 8,159, 11,259.51 and 4,433

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Solution

The fourth proportional to 8,159, 11,259.51 and 4,433 is: 6,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159 : 11,259.51 = 4,433 : x
  2. Step 2: Convert to fraction form
    8,159/11,259.51 = 4,433/x
  3. Step 3: Cross multiply
    8,159x = 11,259.51 × 4,433
  4. Step 4: Simplify right side
    8,159x = 49,913,407.83
  5. Step 5: Solve for x
    x = 49,913,407.83/8,159
  6. Step 6: Final answer
    x = 6,117.59

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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.