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Finding the Fourth Proportional to 7,246.68, 10,870.02 and 3,783.12

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Solution

The fourth proportional to 7,246.68, 10,870.02 and 3,783.12 is: 5,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.68 : 10,870.02 = 3,783.12 : x
  2. Step 2: Convert to fraction form
    7,246.68/10,870.02 = 3,783.12/x
  3. Step 3: Cross multiply
    7,246.68x = 10,870.02 × 3,783.12
  4. Step 4: Simplify right side
    7,246.68x = 41,122,590.06
  5. Step 5: Solve for x
    x = 41,122,590.06/7,246.68
  6. Step 6: Final answer
    x = 5,674.68

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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.