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Finding the Fourth Proportional to 7,455.68, 10,289.76 and 4,660.64

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Solution

The fourth proportional to 7,455.68, 10,289.76 and 4,660.64 is: 6,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,455.68 : 10,289.76 = 4,660.64 : x
  2. Step 2: Convert to fraction form
    7,455.68/10,289.76 = 4,660.64/x
  3. Step 3: Cross multiply
    7,455.68x = 10,289.76 × 4,660.64
  4. Step 4: Simplify right side
    7,455.68x = 47,956,867.05
  5. Step 5: Solve for x
    x = 47,956,867.05/7,455.68
  6. Step 6: Final answer
    x = 6,432.26

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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.