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Finding the Fourth Proportional to 10,484.65, 14,468.81 and 5,768.93

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Solution

The fourth proportional to 10,484.65, 14,468.81 and 5,768.93 is: 7,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.65 : 14,468.81 = 5,768.93 : x
  2. Step 2: Convert to fraction form
    10,484.65/14,468.81 = 5,768.93/x
  3. Step 3: Cross multiply
    10,484.65x = 14,468.81 × 5,768.93
  4. Step 4: Simplify right side
    10,484.65x = 83,469,552.07
  5. Step 5: Solve for x
    x = 83,469,552.07/10,484.65
  6. Step 6: Final answer
    x = 7,961.12

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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.