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Finding the Fourth Proportional to 7,705.72, 10,633.71 and 4,348

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Solution

The fourth proportional to 7,705.72, 10,633.71 and 4,348 is: 6,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.72 : 10,633.71 = 4,348 : x
  2. Step 2: Convert to fraction form
    7,705.72/10,633.71 = 4,348/x
  3. Step 3: Cross multiply
    7,705.72x = 10,633.71 × 4,348
  4. Step 4: Simplify right side
    7,705.72x = 46,235,371.08
  5. Step 5: Solve for x
    x = 46,235,371.08/7,705.72
  6. Step 6: Final answer
    x = 6,000.14

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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.