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Finding the Fourth Proportional to 11,075.52, 16,616.16 and 5,232

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Solution

The fourth proportional to 11,075.52, 16,616.16 and 5,232 is: 7,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.52 : 16,616.16 = 5,232 : x
  2. Step 2: Convert to fraction form
    11,075.52/16,616.16 = 5,232/x
  3. Step 3: Cross multiply
    11,075.52x = 16,616.16 × 5,232
  4. Step 4: Simplify right side
    11,075.52x = 86,935,749.12
  5. Step 5: Solve for x
    x = 86,935,749.12/11,075.52
  6. Step 6: Final answer
    x = 7,849.36

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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.