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Finding the Fourth Proportional to 8,852.53, 13,275.08 and 5,157.31

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Solution

The fourth proportional to 8,852.53, 13,275.08 and 5,157.31 is: 7,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,852.53 : 13,275.08 = 5,157.31 : x
  2. Step 2: Convert to fraction form
    8,852.53/13,275.08 = 5,157.31/x
  3. Step 3: Cross multiply
    8,852.53x = 13,275.08 × 5,157.31
  4. Step 4: Simplify right side
    8,852.53x = 68,463,702.83
  5. Step 5: Solve for x
    x = 68,463,702.83/8,852.53
  6. Step 6: Final answer
    x = 7,733.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.