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Finding the Fourth Proportional to 8,485.02, 11,684.65 and 7,943.50

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Solution

The fourth proportional to 8,485.02, 11,684.65 and 7,943.50 is: 10,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.02 : 11,684.65 = 7,943.50 : x
  2. Step 2: Convert to fraction form
    8,485.02/11,684.65 = 7,943.50/x
  3. Step 3: Cross multiply
    8,485.02x = 11,684.65 × 7,943.50
  4. Step 4: Simplify right side
    8,485.02x = 92,817,017.28
  5. Step 5: Solve for x
    x = 92,817,017.28/8,485.02
  6. Step 6: Final answer
    x = 10,938.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.