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Finding the Fourth Proportional to 7,715.86, 10,648.56 and 6,657.80

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Solution

The fourth proportional to 7,715.86, 10,648.56 and 6,657.80 is: 9,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.86 : 10,648.56 = 6,657.80 : x
  2. Step 2: Convert to fraction form
    7,715.86/10,648.56 = 6,657.80/x
  3. Step 3: Cross multiply
    7,715.86x = 10,648.56 × 6,657.80
  4. Step 4: Simplify right side
    7,715.86x = 70,895,954.49
  5. Step 5: Solve for x
    x = 70,895,954.49/7,715.86
  6. Step 6: Final answer
    x = 9,188.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.