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Finding the Fourth Proportional to 7,242.76, 10,856.13 and 4,740.94

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Solution

The fourth proportional to 7,242.76, 10,856.13 and 4,740.94 is: 7,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.76 : 10,856.13 = 4,740.94 : x
  2. Step 2: Convert to fraction form
    7,242.76/10,856.13 = 4,740.94/x
  3. Step 3: Cross multiply
    7,242.76x = 10,856.13 × 4,740.94
  4. Step 4: Simplify right side
    7,242.76x = 51,468,260.96
  5. Step 5: Solve for x
    x = 51,468,260.96/7,242.76
  6. Step 6: Final answer
    x = 7,106.17

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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.