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Finding the Fourth Proportional to 7,685.61, 11,527.73 and 2,139.06

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Solution

The fourth proportional to 7,685.61, 11,527.73 and 2,139.06 is: 3,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.61 : 11,527.73 = 2,139.06 : x
  2. Step 2: Convert to fraction form
    7,685.61/11,527.73 = 2,139.06/x
  3. Step 3: Cross multiply
    7,685.61x = 11,527.73 × 2,139.06
  4. Step 4: Simplify right side
    7,685.61x = 24,658,506.13
  5. Step 5: Solve for x
    x = 24,658,506.13/7,685.61
  6. Step 6: Final answer
    x = 3,208.40

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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.