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Finding the Fourth Proportional to 11,703.52, 17,618.86 and 10,498

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Solution

The fourth proportional to 11,703.52, 17,618.86 and 10,498 is: 15,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.52 : 17,618.86 = 10,498 : x
  2. Step 2: Convert to fraction form
    11,703.52/17,618.86 = 10,498/x
  3. Step 3: Cross multiply
    11,703.52x = 17,618.86 × 10,498
  4. Step 4: Simplify right side
    11,703.52x = 184,962,792.28
  5. Step 5: Solve for x
    x = 184,962,792.28/11,703.52
  6. Step 6: Final answer
    x = 15,804.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.