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Finding the Fourth Proportional to 11,347.40, 17,021.10 and 6,075.20

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Solution

The fourth proportional to 11,347.40, 17,021.10 and 6,075.20 is: 9,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.40 : 17,021.10 = 6,075.20 : x
  2. Step 2: Convert to fraction form
    11,347.40/17,021.10 = 6,075.20/x
  3. Step 3: Cross multiply
    11,347.40x = 17,021.10 × 6,075.20
  4. Step 4: Simplify right side
    11,347.40x = 103,406,586.72
  5. Step 5: Solve for x
    x = 103,406,586.72/11,347.40
  6. Step 6: Final answer
    x = 9,112.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.