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Finding the Fourth Proportional to 10,429.84, 15,644.58 and 3,504.34

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Solution

The fourth proportional to 10,429.84, 15,644.58 and 3,504.34 is: 5,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.84 : 15,644.58 = 3,504.34 : x
  2. Step 2: Convert to fraction form
    10,429.84/15,644.58 = 3,504.34/x
  3. Step 3: Cross multiply
    10,429.84x = 15,644.58 × 3,504.34
  4. Step 4: Simplify right side
    10,429.84x = 54,823,927.48
  5. Step 5: Solve for x
    x = 54,823,927.48/10,429.84
  6. Step 6: Final answer
    x = 5,256.45

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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.