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Finding the Fourth Proportional to 7,585.45, 10,468.28 and 4,228.29

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Solution

The fourth proportional to 7,585.45, 10,468.28 and 4,228.29 is: 5,835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.45 : 10,468.28 = 4,228.29 : x
  2. Step 2: Convert to fraction form
    7,585.45/10,468.28 = 4,228.29/x
  3. Step 3: Cross multiply
    7,585.45x = 10,468.28 × 4,228.29
  4. Step 4: Simplify right side
    7,585.45x = 44,262,934.21
  5. Step 5: Solve for x
    x = 44,262,934.21/7,585.45
  6. Step 6: Final answer
    x = 5,835.24

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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.