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Finding the Fourth Proportional to 11,796, 17,702.10 and 4,870.56

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Solution

The fourth proportional to 11,796, 17,702.10 and 4,870.56 is: 7,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796 : 17,702.10 = 4,870.56 : x
  2. Step 2: Convert to fraction form
    11,796/17,702.10 = 4,870.56/x
  3. Step 3: Cross multiply
    11,796x = 17,702.10 × 4,870.56
  4. Step 4: Simplify right side
    11,796x = 86,219,140.18
  5. Step 5: Solve for x
    x = 86,219,140.18/11,796
  6. Step 6: Final answer
    x = 7,309.18

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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.