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Finding the Fourth Proportional to 7,685.36, 11,530.16 and 3,301.64

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Solution

The fourth proportional to 7,685.36, 11,530.16 and 3,301.64 is: 4,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.36 : 11,530.16 = 3,301.64 : x
  2. Step 2: Convert to fraction form
    7,685.36/11,530.16 = 3,301.64/x
  3. Step 3: Cross multiply
    7,685.36x = 11,530.16 × 3,301.64
  4. Step 4: Simplify right side
    7,685.36x = 38,068,437.46
  5. Step 5: Solve for x
    x = 38,068,437.46/7,685.36
  6. Step 6: Final answer
    x = 4,953.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.