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Finding the Fourth Proportional to 10,048.47, 15,072.83 and 4,783.97

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Solution

The fourth proportional to 10,048.47, 15,072.83 and 4,783.97 is: 7,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.47 : 15,072.83 = 4,783.97 : x
  2. Step 2: Convert to fraction form
    10,048.47/15,072.83 = 4,783.97/x
  3. Step 3: Cross multiply
    10,048.47x = 15,072.83 × 4,783.97
  4. Step 4: Simplify right side
    10,048.47x = 72,107,867.25
  5. Step 5: Solve for x
    x = 72,107,867.25/10,048.47
  6. Step 6: Final answer
    x = 7,176.00

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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.