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Finding the Fourth Proportional to 7,738.45, 10,679.28 and 4,551.98

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Solution

The fourth proportional to 7,738.45, 10,679.28 and 4,551.98 is: 6,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.45 : 10,679.28 = 4,551.98 : x
  2. Step 2: Convert to fraction form
    7,738.45/10,679.28 = 4,551.98/x
  3. Step 3: Cross multiply
    7,738.45x = 10,679.28 × 4,551.98
  4. Step 4: Simplify right side
    7,738.45x = 48,611,798.51
  5. Step 5: Solve for x
    x = 48,611,798.51/7,738.45
  6. Step 6: Final answer
    x = 6,281.85

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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.