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Finding the Fourth Proportional to 10,434.29, 15,654 and 3,038.82

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Solution

The fourth proportional to 10,434.29, 15,654 and 3,038.82 is: 4,558.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.29 : 15,654 = 3,038.82 : x
  2. Step 2: Convert to fraction form
    10,434.29/15,654 = 3,038.82/x
  3. Step 3: Cross multiply
    10,434.29x = 15,654 × 3,038.82
  4. Step 4: Simplify right side
    10,434.29x = 47,569,629.58
  5. Step 5: Solve for x
    x = 47,569,629.58/10,434.29
  6. Step 6: Final answer
    x = 4,558.97

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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.