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Finding the Fourth Proportional to 6,313.92, 8,711.46 and 4,075.89

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Solution

The fourth proportional to 6,313.92, 8,711.46 and 4,075.89 is: 5,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.92 : 8,711.46 = 4,075.89 : x
  2. Step 2: Convert to fraction form
    6,313.92/8,711.46 = 4,075.89/x
  3. Step 3: Cross multiply
    6,313.92x = 8,711.46 × 4,075.89
  4. Step 4: Simplify right side
    6,313.92x = 35,506,952.70
  5. Step 5: Solve for x
    x = 35,506,952.70/6,313.92
  6. Step 6: Final answer
    x = 5,623.60

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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.