Home / 8,267.83-11,409-4,681.75

Finding the Fourth Proportional to 8,267.83, 11,409 and 4,681.75

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Solution

The fourth proportional to 8,267.83, 11,409 and 4,681.75 is: 6,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.83 : 11,409 = 4,681.75 : x
  2. Step 2: Convert to fraction form
    8,267.83/11,409 = 4,681.75/x
  3. Step 3: Cross multiply
    8,267.83x = 11,409 × 4,681.75
  4. Step 4: Simplify right side
    8,267.83x = 53,414,085.75
  5. Step 5: Solve for x
    x = 53,414,085.75/8,267.83
  6. Step 6: Final answer
    x = 6,460.47

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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.