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Finding the Fourth Proportional to 7,750.84, 10,698.57 and 4,563.88

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Solution

The fourth proportional to 7,750.84, 10,698.57 and 4,563.88 is: 6,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.84 : 10,698.57 = 4,563.88 : x
  2. Step 2: Convert to fraction form
    7,750.84/10,698.57 = 4,563.88/x
  3. Step 3: Cross multiply
    7,750.84x = 10,698.57 × 4,563.88
  4. Step 4: Simplify right side
    7,750.84x = 48,826,989.65
  5. Step 5: Solve for x
    x = 48,826,989.65/7,750.84
  6. Step 6: Final answer
    x = 6,299.57

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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.