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Finding the Fourth Proportional to 10,485.05, 15,738.50 and 4,645.76

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Solution

The fourth proportional to 10,485.05, 15,738.50 and 4,645.76 is: 6,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.05 : 15,738.50 = 4,645.76 : x
  2. Step 2: Convert to fraction form
    10,485.05/15,738.50 = 4,645.76/x
  3. Step 3: Cross multiply
    10,485.05x = 15,738.50 × 4,645.76
  4. Step 4: Simplify right side
    10,485.05x = 73,117,226.68
  5. Step 5: Solve for x
    x = 73,117,226.68/10,485.05
  6. Step 6: Final answer
    x = 6,973.48

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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.