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Finding the Fourth Proportional to 7,704.46, 10,633.80 and 4,870.04

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Solution

The fourth proportional to 7,704.46, 10,633.80 and 4,870.04 is: 6,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.46 : 10,633.80 = 4,870.04 : x
  2. Step 2: Convert to fraction form
    7,704.46/10,633.80 = 4,870.04/x
  3. Step 3: Cross multiply
    7,704.46x = 10,633.80 × 4,870.04
  4. Step 4: Simplify right side
    7,704.46x = 51,787,031.35
  5. Step 5: Solve for x
    x = 51,787,031.35/7,704.46
  6. Step 6: Final answer
    x = 6,721.70

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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.