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Finding the Fourth Proportional to 7,693.51, 10,617.06 and 4,865.94

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Solution

The fourth proportional to 7,693.51, 10,617.06 and 4,865.94 is: 6,715.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.51 : 10,617.06 = 4,865.94 : x
  2. Step 2: Convert to fraction form
    7,693.51/10,617.06 = 4,865.94/x
  3. Step 3: Cross multiply
    7,693.51x = 10,617.06 × 4,865.94
  4. Step 4: Simplify right side
    7,693.51x = 51,661,923.85
  5. Step 5: Solve for x
    x = 51,661,923.85/7,693.51
  6. Step 6: Final answer
    x = 6,715.00

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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.