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Finding the Fourth Proportional to 7,888.34, 11,830.48 and 2,340.43

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Solution

The fourth proportional to 7,888.34, 11,830.48 and 2,340.43 is: 3,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.34 : 11,830.48 = 2,340.43 : x
  2. Step 2: Convert to fraction form
    7,888.34/11,830.48 = 2,340.43/x
  3. Step 3: Cross multiply
    7,888.34x = 11,830.48 × 2,340.43
  4. Step 4: Simplify right side
    7,888.34x = 27,688,374.88
  5. Step 5: Solve for x
    x = 27,688,374.88/7,888.34
  6. Step 6: Final answer
    x = 3,510.04

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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.