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Finding the Fourth Proportional to 7,075.70, 10,588.35 and 6,161.30

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Solution

The fourth proportional to 7,075.70, 10,588.35 and 6,161.30 is: 9,220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.70 : 10,588.35 = 6,161.30 : x
  2. Step 2: Convert to fraction form
    7,075.70/10,588.35 = 6,161.30/x
  3. Step 3: Cross multiply
    7,075.70x = 10,588.35 × 6,161.30
  4. Step 4: Simplify right side
    7,075.70x = 65,238,000.86
  5. Step 5: Solve for x
    x = 65,238,000.86/7,075.70
  6. Step 6: Final answer
    x = 9,220.01

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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.