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Finding the Fourth Proportional to 10,429, 15,630.54 and 4,579.72

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Solution

The fourth proportional to 10,429, 15,630.54 and 4,579.72 is: 6,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429 : 15,630.54 = 4,579.72 : x
  2. Step 2: Convert to fraction form
    10,429/15,630.54 = 4,579.72/x
  3. Step 3: Cross multiply
    10,429x = 15,630.54 × 4,579.72
  4. Step 4: Simplify right side
    10,429x = 71,583,496.65
  5. Step 5: Solve for x
    x = 71,583,496.65/10,429
  6. Step 6: Final answer
    x = 6,863.89

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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.