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Finding the Fourth Proportional to 7,685.76, 10,606.54 and 4,328.70

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Solution

The fourth proportional to 7,685.76, 10,606.54 and 4,328.70 is: 5,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.76 : 10,606.54 = 4,328.70 : x
  2. Step 2: Convert to fraction form
    7,685.76/10,606.54 = 4,328.70/x
  3. Step 3: Cross multiply
    7,685.76x = 10,606.54 × 4,328.70
  4. Step 4: Simplify right side
    7,685.76x = 45,912,529.70
  5. Step 5: Solve for x
    x = 45,912,529.70/7,685.76
  6. Step 6: Final answer
    x = 5,973.71

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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.