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Finding the Fourth Proportional to 7,585.49, 10,468.29 and 4,228.30

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Solution

The fourth proportional to 7,585.49, 10,468.29 and 4,228.30 is: 5,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.49 : 10,468.29 = 4,228.30 : x
  2. Step 2: Convert to fraction form
    7,585.49/10,468.29 = 4,228.30/x
  3. Step 3: Cross multiply
    7,585.49x = 10,468.29 × 4,228.30
  4. Step 4: Simplify right side
    7,585.49x = 44,263,018.27
  5. Step 5: Solve for x
    x = 44,263,018.27/7,585.49
  6. Step 6: Final answer
    x = 5,835.23

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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.