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Finding the Fourth Proportional to 8,780.24, 13,166.86 and 4,160

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Solution

The fourth proportional to 8,780.24, 13,166.86 and 4,160 is: 6,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,780.24 : 13,166.86 = 4,160 : x
  2. Step 2: Convert to fraction form
    8,780.24/13,166.86 = 4,160/x
  3. Step 3: Cross multiply
    8,780.24x = 13,166.86 × 4,160
  4. Step 4: Simplify right side
    8,780.24x = 54,774,137.60
  5. Step 5: Solve for x
    x = 54,774,137.60/8,780.24
  6. Step 6: Final answer
    x = 6,238.34

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