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Finding the Fourth Proportional to 7,715.76, 10,647.79 and 4,178.98

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Solution

The fourth proportional to 7,715.76, 10,647.79 and 4,178.98 is: 5,767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.76 : 10,647.79 = 4,178.98 : x
  2. Step 2: Convert to fraction form
    7,715.76/10,647.79 = 4,178.98/x
  3. Step 3: Cross multiply
    7,715.76x = 10,647.79 × 4,178.98
  4. Step 4: Simplify right side
    7,715.76x = 44,496,901.45
  5. Step 5: Solve for x
    x = 44,496,901.45/7,715.76
  6. Step 6: Final answer
    x = 5,767.01

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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.