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Finding the Fourth Proportional to 11,702.52, 17,617.35 and 10,497

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Solution

The fourth proportional to 11,702.52, 17,617.35 and 10,497 is: 15,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.52 : 17,617.35 = 10,497 : x
  2. Step 2: Convert to fraction form
    11,702.52/17,617.35 = 10,497/x
  3. Step 3: Cross multiply
    11,702.52x = 17,617.35 × 10,497
  4. Step 4: Simplify right side
    11,702.52x = 184,929,322.95
  5. Step 5: Solve for x
    x = 184,929,322.95/11,702.52
  6. Step 6: Final answer
    x = 15,802.52

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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.