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Finding the Fourth Proportional to 7,706.56, 10,635.02 and 4,349.36

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Solution

The fourth proportional to 7,706.56, 10,635.02 and 4,349.36 is: 6,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.56 : 10,635.02 = 4,349.36 : x
  2. Step 2: Convert to fraction form
    7,706.56/10,635.02 = 4,349.36/x
  3. Step 3: Cross multiply
    7,706.56x = 10,635.02 × 4,349.36
  4. Step 4: Simplify right side
    7,706.56x = 46,255,530.59
  5. Step 5: Solve for x
    x = 46,255,530.59/7,706.56
  6. Step 6: Final answer
    x = 6,002.10

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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.