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Finding the Fourth Proportional to 10,283.80, 14,191.62 and 5,568.08

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Solution

The fourth proportional to 10,283.80, 14,191.62 and 5,568.08 is: 7,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.80 : 14,191.62 = 5,568.08 : x
  2. Step 2: Convert to fraction form
    10,283.80/14,191.62 = 5,568.08/x
  3. Step 3: Cross multiply
    10,283.80x = 14,191.62 × 5,568.08
  4. Step 4: Simplify right side
    10,283.80x = 79,020,075.49
  5. Step 5: Solve for x
    x = 79,020,075.49/10,283.80
  6. Step 6: Final answer
    x = 7,683.94

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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.