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Finding the Fourth Proportional to 7,777.12, 10,733.72 and 4,635.16

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Solution

The fourth proportional to 7,777.12, 10,733.72 and 4,635.16 is: 6,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.12 : 10,733.72 = 4,635.16 : x
  2. Step 2: Convert to fraction form
    7,777.12/10,733.72 = 4,635.16/x
  3. Step 3: Cross multiply
    7,777.12x = 10,733.72 × 4,635.16
  4. Step 4: Simplify right side
    7,777.12x = 49,752,509.60
  5. Step 5: Solve for x
    x = 49,752,509.60/7,777.12
  6. Step 6: Final answer
    x = 6,397.29

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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.