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Finding the Fourth Proportional to 7,820.77, 10,783.81 and 4,984.35

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Solution

The fourth proportional to 7,820.77, 10,783.81 and 4,984.35 is: 6,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.77 : 10,783.81 = 4,984.35 : x
  2. Step 2: Convert to fraction form
    7,820.77/10,783.81 = 4,984.35/x
  3. Step 3: Cross multiply
    7,820.77x = 10,783.81 × 4,984.35
  4. Step 4: Simplify right side
    7,820.77x = 53,750,258.45
  5. Step 5: Solve for x
    x = 53,750,258.45/7,820.77
  6. Step 6: Final answer
    x = 6,872.76

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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.