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Finding the Fourth Proportional to 7,302.29, 10,943.01 and 5,630.09

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Solution

The fourth proportional to 7,302.29, 10,943.01 and 5,630.09 is: 8,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.29 : 10,943.01 = 5,630.09 : x
  2. Step 2: Convert to fraction form
    7,302.29/10,943.01 = 5,630.09/x
  3. Step 3: Cross multiply
    7,302.29x = 10,943.01 × 5,630.09
  4. Step 4: Simplify right side
    7,302.29x = 61,610,076.46
  5. Step 5: Solve for x
    x = 61,610,076.46/7,302.29
  6. Step 6: Final answer
    x = 8,437.10

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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.