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Finding the Fourth Proportional to 7,895.00, 10,895.69 and 4,538.63

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Solution

The fourth proportional to 7,895.00, 10,895.69 and 4,538.63 is: 6,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.00 : 10,895.69 = 4,538.63 : x
  2. Step 2: Convert to fraction form
    7,895.00/10,895.69 = 4,538.63/x
  3. Step 3: Cross multiply
    7,895.00x = 10,895.69 × 4,538.63
  4. Step 4: Simplify right side
    7,895.00x = 49,451,544.09
  5. Step 5: Solve for x
    x = 49,451,544.09/7,895.00
  6. Step 6: Final answer
    x = 6,263.65

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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.