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Finding the Fourth Proportional to 7,630.75, 10,529.86 and 4,646.25

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Solution

The fourth proportional to 7,630.75, 10,529.86 and 4,646.25 is: 6,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.75 : 10,529.86 = 4,646.25 : x
  2. Step 2: Convert to fraction form
    7,630.75/10,529.86 = 4,646.25/x
  3. Step 3: Cross multiply
    7,630.75x = 10,529.86 × 4,646.25
  4. Step 4: Simplify right side
    7,630.75x = 48,924,362.03
  5. Step 5: Solve for x
    x = 48,924,362.03/7,630.75
  6. Step 6: Final answer
    x = 6,411.47

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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.