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Finding the Fourth Proportional to 17,610, 26,415.12 and 5,298

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Solution

The fourth proportional to 17,610, 26,415.12 and 5,298 is: 7,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,610 : 26,415.12 = 5,298 : x
  2. Step 2: Convert to fraction form
    17,610/26,415.12 = 5,298/x
  3. Step 3: Cross multiply
    17,610x = 26,415.12 × 5,298
  4. Step 4: Simplify right side
    17,610x = 139,947,305.76
  5. Step 5: Solve for x
    x = 139,947,305.76/17,610
  6. Step 6: Final answer
    x = 7,947.04

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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.