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Finding the Fourth Proportional to 10,066.40, 15,099.75 and 3,046.48

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Solution

The fourth proportional to 10,066.40, 15,099.75 and 3,046.48 is: 4,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.40 : 15,099.75 = 3,046.48 : x
  2. Step 2: Convert to fraction form
    10,066.40/15,099.75 = 3,046.48/x
  3. Step 3: Cross multiply
    10,066.40x = 15,099.75 × 3,046.48
  4. Step 4: Simplify right side
    10,066.40x = 46,001,093.83
  5. Step 5: Solve for x
    x = 46,001,093.83/10,066.40
  6. Step 6: Final answer
    x = 4,569.77

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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.