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Finding the Fourth Proportional to 7,189.52, 10,783.35 and 2,810.05

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Solution

The fourth proportional to 7,189.52, 10,783.35 and 2,810.05 is: 4,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.52 : 10,783.35 = 2,810.05 : x
  2. Step 2: Convert to fraction form
    7,189.52/10,783.35 = 2,810.05/x
  3. Step 3: Cross multiply
    7,189.52x = 10,783.35 × 2,810.05
  4. Step 4: Simplify right side
    7,189.52x = 30,301,725.71
  5. Step 5: Solve for x
    x = 30,301,725.71/7,189.52
  6. Step 6: Final answer
    x = 4,214.71

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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.