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Finding the Fourth Proportional to 7,378.13, 11,041.20 and 4,606.10

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Solution

The fourth proportional to 7,378.13, 11,041.20 and 4,606.10 is: 6,892.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.13 : 11,041.20 = 4,606.10 : x
  2. Step 2: Convert to fraction form
    7,378.13/11,041.20 = 4,606.10/x
  3. Step 3: Cross multiply
    7,378.13x = 11,041.20 × 4,606.10
  4. Step 4: Simplify right side
    7,378.13x = 50,856,871.32
  5. Step 5: Solve for x
    x = 50,856,871.32/7,378.13
  6. Step 6: Final answer
    x = 6,892.92

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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.