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Finding the Fourth Proportional to 7,684.64, 10,595.03 and 5,162.75

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Solution

The fourth proportional to 7,684.64, 10,595.03 and 5,162.75 is: 7,118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.64 : 10,595.03 = 5,162.75 : x
  2. Step 2: Convert to fraction form
    7,684.64/10,595.03 = 5,162.75/x
  3. Step 3: Cross multiply
    7,684.64x = 10,595.03 × 5,162.75
  4. Step 4: Simplify right side
    7,684.64x = 54,699,491.13
  5. Step 5: Solve for x
    x = 54,699,491.13/7,684.64
  6. Step 6: Final answer
    x = 7,118.03

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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.