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Finding the Fourth Proportional to 10,204.65, 15,307.04 and 2,809.89

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Solution

The fourth proportional to 10,204.65, 15,307.04 and 2,809.89 is: 4,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.65 : 15,307.04 = 2,809.89 : x
  2. Step 2: Convert to fraction form
    10,204.65/15,307.04 = 2,809.89/x
  3. Step 3: Cross multiply
    10,204.65x = 15,307.04 × 2,809.89
  4. Step 4: Simplify right side
    10,204.65x = 43,011,098.63
  5. Step 5: Solve for x
    x = 43,011,098.63/10,204.65
  6. Step 6: Final answer
    x = 4,214.85

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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.