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Finding the Fourth Proportional to 10,004.76, 15,007.02 and 4,456.68

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Solution

The fourth proportional to 10,004.76, 15,007.02 and 4,456.68 is: 6,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.76 : 15,007.02 = 4,456.68 : x
  2. Step 2: Convert to fraction form
    10,004.76/15,007.02 = 4,456.68/x
  3. Step 3: Cross multiply
    10,004.76x = 15,007.02 × 4,456.68
  4. Step 4: Simplify right side
    10,004.76x = 66,881,485.89
  5. Step 5: Solve for x
    x = 66,881,485.89/10,004.76
  6. Step 6: Final answer
    x = 6,684.97

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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.