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Finding the Fourth Proportional to 7,713, 11,585.03 and 4,599.09

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Solution

The fourth proportional to 7,713, 11,585.03 and 4,599.09 is: 6,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713 : 11,585.03 = 4,599.09 : x
  2. Step 2: Convert to fraction form
    7,713/11,585.03 = 4,599.09/x
  3. Step 3: Cross multiply
    7,713x = 11,585.03 × 4,599.09
  4. Step 4: Simplify right side
    7,713x = 53,280,572.63
  5. Step 5: Solve for x
    x = 53,280,572.63/7,713
  6. Step 6: Final answer
    x = 6,907.89

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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.