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Finding the Fourth Proportional to 7,785.60, 10,744.20 and 4,642.08

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Solution

The fourth proportional to 7,785.60, 10,744.20 and 4,642.08 is: 6,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.60 : 10,744.20 = 4,642.08 : x
  2. Step 2: Convert to fraction form
    7,785.60/10,744.20 = 4,642.08/x
  3. Step 3: Cross multiply
    7,785.60x = 10,744.20 × 4,642.08
  4. Step 4: Simplify right side
    7,785.60x = 49,875,435.94
  5. Step 5: Solve for x
    x = 49,875,435.94/7,785.60
  6. Step 6: Final answer
    x = 6,406.11

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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.