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Finding the Fourth Proportional to 7,585.60, 10,468.02 and 4,228.54

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Solution

The fourth proportional to 7,585.60, 10,468.02 and 4,228.54 is: 5,835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.60 : 10,468.02 = 4,228.54 : x
  2. Step 2: Convert to fraction form
    7,585.60/10,468.02 = 4,228.54/x
  3. Step 3: Cross multiply
    7,585.60x = 10,468.02 × 4,228.54
  4. Step 4: Simplify right side
    7,585.60x = 44,264,441.29
  5. Step 5: Solve for x
    x = 44,264,441.29/7,585.60
  6. Step 6: Final answer
    x = 5,835.32

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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.