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Finding the Fourth Proportional to 7,188.86, 10,783.76 and 2,258.70

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Solution

The fourth proportional to 7,188.86, 10,783.76 and 2,258.70 is: 3,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.86 : 10,783.76 = 2,258.70 : x
  2. Step 2: Convert to fraction form
    7,188.86/10,783.76 = 2,258.70/x
  3. Step 3: Cross multiply
    7,188.86x = 10,783.76 × 2,258.70
  4. Step 4: Simplify right side
    7,188.86x = 24,357,278.71
  5. Step 5: Solve for x
    x = 24,357,278.71/7,188.86
  6. Step 6: Final answer
    x = 3,388.20

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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.