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Finding the Fourth Proportional to 10,460.03, 14,434.85 and 5,744.60

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Solution

The fourth proportional to 10,460.03, 14,434.85 and 5,744.60 is: 7,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.03 : 14,434.85 = 5,744.60 : x
  2. Step 2: Convert to fraction form
    10,460.03/14,434.85 = 5,744.60/x
  3. Step 3: Cross multiply
    10,460.03x = 14,434.85 × 5,744.60
  4. Step 4: Simplify right side
    10,460.03x = 82,922,410.59
  5. Step 5: Solve for x
    x = 82,922,410.59/10,460.03
  6. Step 6: Final answer
    x = 7,927.55

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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.