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Finding the Fourth Proportional to 8,283.93, 11,429.94 and 6,047.02

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Solution

The fourth proportional to 8,283.93, 11,429.94 and 6,047.02 is: 8,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.93 : 11,429.94 = 6,047.02 : x
  2. Step 2: Convert to fraction form
    8,283.93/11,429.94 = 6,047.02/x
  3. Step 3: Cross multiply
    8,283.93x = 11,429.94 × 6,047.02
  4. Step 4: Simplify right side
    8,283.93x = 69,117,075.78
  5. Step 5: Solve for x
    x = 69,117,075.78/8,283.93
  6. Step 6: Final answer
    x = 8,343.51

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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.