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Finding the Fourth Proportional to 10,048.16, 15,048.54 and 5,105.54

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Solution

The fourth proportional to 10,048.16, 15,048.54 and 5,105.54 is: 7,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.16 : 15,048.54 = 5,105.54 : x
  2. Step 2: Convert to fraction form
    10,048.16/15,048.54 = 5,105.54/x
  3. Step 3: Cross multiply
    10,048.16x = 15,048.54 × 5,105.54
  4. Step 4: Simplify right side
    10,048.16x = 76,830,922.91
  5. Step 5: Solve for x
    x = 76,830,922.91/10,048.16
  6. Step 6: Final answer
    x = 7,646.27

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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.