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Finding the Fourth Proportional to 7,423.68, 10,246.32 and 5,187

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Solution

The fourth proportional to 7,423.68, 10,246.32 and 5,187 is: 7,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.68 : 10,246.32 = 5,187 : x
  2. Step 2: Convert to fraction form
    7,423.68/10,246.32 = 5,187/x
  3. Step 3: Cross multiply
    7,423.68x = 10,246.32 × 5,187
  4. Step 4: Simplify right side
    7,423.68x = 53,147,661.84
  5. Step 5: Solve for x
    x = 53,147,661.84/7,423.68
  6. Step 6: Final answer
    x = 7,159.21

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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.