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Finding the Fourth Proportional to 7,785.90, 10,744.47 and 4,800.54

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Solution

The fourth proportional to 7,785.90, 10,744.47 and 4,800.54 is: 6,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.90 : 10,744.47 = 4,800.54 : x
  2. Step 2: Convert to fraction form
    7,785.90/10,744.47 = 4,800.54/x
  3. Step 3: Cross multiply
    7,785.90x = 10,744.47 × 4,800.54
  4. Step 4: Simplify right side
    7,785.90x = 51,579,258.01
  5. Step 5: Solve for x
    x = 51,579,258.01/7,785.90
  6. Step 6: Final answer
    x = 6,624.70

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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.