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Finding the Fourth Proportional to 7,114.09, 10,673.90 and 2,953.06

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Solution

The fourth proportional to 7,114.09, 10,673.90 and 2,953.06 is: 4,430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.09 : 10,673.90 = 2,953.06 : x
  2. Step 2: Convert to fraction form
    7,114.09/10,673.90 = 2,953.06/x
  3. Step 3: Cross multiply
    7,114.09x = 10,673.90 × 2,953.06
  4. Step 4: Simplify right side
    7,114.09x = 31,520,667.13
  5. Step 5: Solve for x
    x = 31,520,667.13/7,114.09
  6. Step 6: Final answer
    x = 4,430.74

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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.