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Finding the Fourth Proportional to 8,762.88, 13,144.32 and 4,657.92

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Solution

The fourth proportional to 8,762.88, 13,144.32 and 4,657.92 is: 6,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.88 : 13,144.32 = 4,657.92 : x
  2. Step 2: Convert to fraction form
    8,762.88/13,144.32 = 4,657.92/x
  3. Step 3: Cross multiply
    8,762.88x = 13,144.32 × 4,657.92
  4. Step 4: Simplify right side
    8,762.88x = 61,225,191.01
  5. Step 5: Solve for x
    x = 61,225,191.01/8,762.88
  6. Step 6: Final answer
    x = 6,986.88

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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.