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Finding the Fourth Proportional to 11,355.04, 17,034.72 and 4,429

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Solution

The fourth proportional to 11,355.04, 17,034.72 and 4,429 is: 6,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.04 : 17,034.72 = 4,429 : x
  2. Step 2: Convert to fraction form
    11,355.04/17,034.72 = 4,429/x
  3. Step 3: Cross multiply
    11,355.04x = 17,034.72 × 4,429
  4. Step 4: Simplify right side
    11,355.04x = 75,446,774.88
  5. Step 5: Solve for x
    x = 75,446,774.88/11,355.04
  6. Step 6: Final answer
    x = 6,644.34

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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.