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Finding the Fourth Proportional to 7,851.62, 11,774.98 and 2,303.58

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Solution

The fourth proportional to 7,851.62, 11,774.98 and 2,303.58 is: 3,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.62 : 11,774.98 = 2,303.58 : x
  2. Step 2: Convert to fraction form
    7,851.62/11,774.98 = 2,303.58/x
  3. Step 3: Cross multiply
    7,851.62x = 11,774.98 × 2,303.58
  4. Step 4: Simplify right side
    7,851.62x = 27,124,608.43
  5. Step 5: Solve for x
    x = 27,124,608.43/7,851.62
  6. Step 6: Final answer
    x = 3,454.65

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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.