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Finding the Fourth Proportional to 7,685.28, 10,606.24 and 4,328.64

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Solution

The fourth proportional to 7,685.28, 10,606.24 and 4,328.64 is: 5,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.28 : 10,606.24 = 4,328.64 : x
  2. Step 2: Convert to fraction form
    7,685.28/10,606.24 = 4,328.64/x
  3. Step 3: Cross multiply
    7,685.28x = 10,606.24 × 4,328.64
  4. Step 4: Simplify right side
    7,685.28x = 45,910,594.71
  5. Step 5: Solve for x
    x = 45,910,594.71/7,685.28
  6. Step 6: Final answer
    x = 5,973.84

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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.