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Finding the Fourth Proportional to 7,876.63, 11,814.90 and 2,330.02

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Solution

The fourth proportional to 7,876.63, 11,814.90 and 2,330.02 is: 3,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.63 : 11,814.90 = 2,330.02 : x
  2. Step 2: Convert to fraction form
    7,876.63/11,814.90 = 2,330.02/x
  3. Step 3: Cross multiply
    7,876.63x = 11,814.90 × 2,330.02
  4. Step 4: Simplify right side
    7,876.63x = 27,528,953.30
  5. Step 5: Solve for x
    x = 27,528,953.30/7,876.63
  6. Step 6: Final answer
    x = 3,495.02

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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.