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Finding the Fourth Proportional to 8,357.94, 12,535.49 and 3,916.08

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Solution

The fourth proportional to 8,357.94, 12,535.49 and 3,916.08 is: 5,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.94 : 12,535.49 = 3,916.08 : x
  2. Step 2: Convert to fraction form
    8,357.94/12,535.49 = 3,916.08/x
  3. Step 3: Cross multiply
    8,357.94x = 12,535.49 × 3,916.08
  4. Step 4: Simplify right side
    8,357.94x = 49,089,981.68
  5. Step 5: Solve for x
    x = 49,089,981.68/8,357.94
  6. Step 6: Final answer
    x = 5,873.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.