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Finding the Fourth Proportional to 7,686.34, 11,530.18 and 2,350.72

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Solution

The fourth proportional to 7,686.34, 11,530.18 and 2,350.72 is: 3,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.34 : 11,530.18 = 2,350.72 : x
  2. Step 2: Convert to fraction form
    7,686.34/11,530.18 = 2,350.72/x
  3. Step 3: Cross multiply
    7,686.34x = 11,530.18 × 2,350.72
  4. Step 4: Simplify right side
    7,686.34x = 27,104,242.08
  5. Step 5: Solve for x
    x = 27,104,242.08/7,686.34
  6. Step 6: Final answer
    x = 3,526.29

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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.