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Finding the Fourth Proportional to 7,886.88, 11,829.60 and 4,597.92

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Solution

The fourth proportional to 7,886.88, 11,829.60 and 4,597.92 is: 6,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.88 : 11,829.60 = 4,597.92 : x
  2. Step 2: Convert to fraction form
    7,886.88/11,829.60 = 4,597.92/x
  3. Step 3: Cross multiply
    7,886.88x = 11,829.60 × 4,597.92
  4. Step 4: Simplify right side
    7,886.88x = 54,391,554.43
  5. Step 5: Solve for x
    x = 54,391,554.43/7,886.88
  6. Step 6: Final answer
    x = 6,896.46

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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.