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Finding the Fourth Proportional to 7,656.76, 11,484.59 and 2,657.95

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Solution

The fourth proportional to 7,656.76, 11,484.59 and 2,657.95 is: 3,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.76 : 11,484.59 = 2,657.95 : x
  2. Step 2: Convert to fraction form
    7,656.76/11,484.59 = 2,657.95/x
  3. Step 3: Cross multiply
    7,656.76x = 11,484.59 × 2,657.95
  4. Step 4: Simplify right side
    7,656.76x = 30,525,423.99
  5. Step 5: Solve for x
    x = 30,525,423.99/7,656.76
  6. Step 6: Final answer
    x = 3,986.73

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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.