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Finding the Fourth Proportional to 8,060.10, 11,075.82 and 6,564.84

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Solution

The fourth proportional to 8,060.10, 11,075.82 and 6,564.84 is: 9,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,060.10 : 11,075.82 = 6,564.84 : x
  2. Step 2: Convert to fraction form
    8,060.10/11,075.82 = 6,564.84/x
  3. Step 3: Cross multiply
    8,060.10x = 11,075.82 × 6,564.84
  4. Step 4: Simplify right side
    8,060.10x = 72,710,986.17
  5. Step 5: Solve for x
    x = 72,710,986.17/8,060.10
  6. Step 6: Final answer
    x = 9,021.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.