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Finding the Fourth Proportional to 8,485.56, 11,715.03 and 5,657.04

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Solution

The fourth proportional to 8,485.56, 11,715.03 and 5,657.04 is: 7,810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.56 : 11,715.03 = 5,657.04 : x
  2. Step 2: Convert to fraction form
    8,485.56/11,715.03 = 5,657.04/x
  3. Step 3: Cross multiply
    8,485.56x = 11,715.03 × 5,657.04
  4. Step 4: Simplify right side
    8,485.56x = 66,272,393.31
  5. Step 5: Solve for x
    x = 66,272,393.31/8,485.56
  6. Step 6: Final answer
    x = 7,810.02

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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.