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Finding the Fourth Proportional to 7,585.42, 10,467.34 and 4,228.08

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Solution

The fourth proportional to 7,585.42, 10,467.34 and 4,228.08 is: 5,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.42 : 10,467.34 = 4,228.08 : x
  2. Step 2: Convert to fraction form
    7,585.42/10,467.34 = 4,228.08/x
  3. Step 3: Cross multiply
    7,585.42x = 10,467.34 × 4,228.08
  4. Step 4: Simplify right side
    7,585.42x = 44,256,750.91
  5. Step 5: Solve for x
    x = 44,256,750.91/7,585.42
  6. Step 6: Final answer
    x = 5,834.45

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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.