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Finding the Fourth Proportional to 7,462.13, 10,295.10 and 4,945.46

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Solution

The fourth proportional to 7,462.13, 10,295.10 and 4,945.46 is: 6,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.13 : 10,295.10 = 4,945.46 : x
  2. Step 2: Convert to fraction form
    7,462.13/10,295.10 = 4,945.46/x
  3. Step 3: Cross multiply
    7,462.13x = 10,295.10 × 4,945.46
  4. Step 4: Simplify right side
    7,462.13x = 50,913,953.77
  5. Step 5: Solve for x
    x = 50,913,953.77/7,462.13
  6. Step 6: Final answer
    x = 6,822.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.