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Finding the Fourth Proportional to 11,017.02, 15,203.52 and 6,543

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Solution

The fourth proportional to 11,017.02, 15,203.52 and 6,543 is: 9,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.02 : 15,203.52 = 6,543 : x
  2. Step 2: Convert to fraction form
    11,017.02/15,203.52 = 6,543/x
  3. Step 3: Cross multiply
    11,017.02x = 15,203.52 × 6,543
  4. Step 4: Simplify right side
    11,017.02x = 99,476,631.36
  5. Step 5: Solve for x
    x = 99,476,631.36/11,017.02
  6. Step 6: Final answer
    x = 9,029.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.