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Finding the Fourth Proportional to 7,585.96, 11,374.62 and 3,685.48

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Solution

The fourth proportional to 7,585.96, 11,374.62 and 3,685.48 is: 5,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.96 : 11,374.62 = 3,685.48 : x
  2. Step 2: Convert to fraction form
    7,585.96/11,374.62 = 3,685.48/x
  3. Step 3: Cross multiply
    7,585.96x = 11,374.62 × 3,685.48
  4. Step 4: Simplify right side
    7,585.96x = 41,920,934.52
  5. Step 5: Solve for x
    x = 41,920,934.52/7,585.96
  6. Step 6: Final answer
    x = 5,526.12

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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.