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Finding the Fourth Proportional to 10,544.69, 14,551.64 and 5,828.94

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Solution

The fourth proportional to 10,544.69, 14,551.64 and 5,828.94 is: 8,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.69 : 14,551.64 = 5,828.94 : x
  2. Step 2: Convert to fraction form
    10,544.69/14,551.64 = 5,828.94/x
  3. Step 3: Cross multiply
    10,544.69x = 14,551.64 × 5,828.94
  4. Step 4: Simplify right side
    10,544.69x = 84,820,636.46
  5. Step 5: Solve for x
    x = 84,820,636.46/10,544.69
  6. Step 6: Final answer
    x = 8,043.92

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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.