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Finding the Fourth Proportional to 7,630.41, 10,530.90 and 4,646.68

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Solution

The fourth proportional to 7,630.41, 10,530.90 and 4,646.68 is: 6,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.41 : 10,530.90 = 4,646.68 : x
  2. Step 2: Convert to fraction form
    7,630.41/10,530.90 = 4,646.68/x
  3. Step 3: Cross multiply
    7,630.41x = 10,530.90 × 4,646.68
  4. Step 4: Simplify right side
    7,630.41x = 48,933,696.08
  5. Step 5: Solve for x
    x = 48,933,696.08/7,630.41
  6. Step 6: Final answer
    x = 6,412.98

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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.