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Finding the Fourth Proportional to 10,424.58, 14,385.94 and 5,644.57

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Solution

The fourth proportional to 10,424.58, 14,385.94 and 5,644.57 is: 7,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.58 : 14,385.94 = 5,644.57 : x
  2. Step 2: Convert to fraction form
    10,424.58/14,385.94 = 5,644.57/x
  3. Step 3: Cross multiply
    10,424.58x = 14,385.94 × 5,644.57
  4. Step 4: Simplify right side
    10,424.58x = 81,202,417.12
  5. Step 5: Solve for x
    x = 81,202,417.12/10,424.58
  6. Step 6: Final answer
    x = 7,789.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.