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Finding the Fourth Proportional to 7,788, 11,683.92 and 2,316

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Solution

The fourth proportional to 7,788, 11,683.92 and 2,316 is: 3,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788 : 11,683.92 = 2,316 : x
  2. Step 2: Convert to fraction form
    7,788/11,683.92 = 2,316/x
  3. Step 3: Cross multiply
    7,788x = 11,683.92 × 2,316
  4. Step 4: Simplify right side
    7,788x = 27,059,958.72
  5. Step 5: Solve for x
    x = 27,059,958.72/7,788
  6. Step 6: Final answer
    x = 3,474.57

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Why These Related Problems?

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