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Finding the Fourth Proportional to 11,695.50, 17,543.52 and 4,770

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Solution

The fourth proportional to 11,695.50, 17,543.52 and 4,770 is: 7,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.50 : 17,543.52 = 4,770 : x
  2. Step 2: Convert to fraction form
    11,695.50/17,543.52 = 4,770/x
  3. Step 3: Cross multiply
    11,695.50x = 17,543.52 × 4,770
  4. Step 4: Simplify right side
    11,695.50x = 83,682,590.40
  5. Step 5: Solve for x
    x = 83,682,590.40/11,695.50
  6. Step 6: Final answer
    x = 7,155.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.