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Finding the Fourth Proportional to 7,805.35, 11,700.46 and 2,873.67

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Solution

The fourth proportional to 7,805.35, 11,700.46 and 2,873.67 is: 4,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.35 : 11,700.46 = 2,873.67 : x
  2. Step 2: Convert to fraction form
    7,805.35/11,700.46 = 2,873.67/x
  3. Step 3: Cross multiply
    7,805.35x = 11,700.46 × 2,873.67
  4. Step 4: Simplify right side
    7,805.35x = 33,623,260.89
  5. Step 5: Solve for x
    x = 33,623,260.89/7,805.35
  6. Step 6: Final answer
    x = 4,307.72

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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.