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Finding the Fourth Proportional to 7,628.64, 10,530.74 and 4,645.56

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Solution

The fourth proportional to 7,628.64, 10,530.74 and 4,645.56 is: 6,412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.64 : 10,530.74 = 4,645.56 : x
  2. Step 2: Convert to fraction form
    7,628.64/10,530.74 = 4,645.56/x
  3. Step 3: Cross multiply
    7,628.64x = 10,530.74 × 4,645.56
  4. Step 4: Simplify right side
    7,628.64x = 48,921,184.51
  5. Step 5: Solve for x
    x = 48,921,184.51/7,628.64
  6. Step 6: Final answer
    x = 6,412.83

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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.