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Finding the Fourth Proportional to 7,390.68, 10,199.34 and 4,406.76

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Solution

The fourth proportional to 7,390.68, 10,199.34 and 4,406.76 is: 6,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.68 : 10,199.34 = 4,406.76 : x
  2. Step 2: Convert to fraction form
    7,390.68/10,199.34 = 4,406.76/x
  3. Step 3: Cross multiply
    7,390.68x = 10,199.34 × 4,406.76
  4. Step 4: Simplify right side
    7,390.68x = 44,946,043.54
  5. Step 5: Solve for x
    x = 44,946,043.54/7,390.68
  6. Step 6: Final answer
    x = 6,081.45

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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.