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Finding the Fourth Proportional to 10,564.33, 14,578.79 and 6,787.51

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Solution

The fourth proportional to 10,564.33, 14,578.79 and 6,787.51 is: 9,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.33 : 14,578.79 = 6,787.51 : x
  2. Step 2: Convert to fraction form
    10,564.33/14,578.79 = 6,787.51/x
  3. Step 3: Cross multiply
    10,564.33x = 14,578.79 × 6,787.51
  4. Step 4: Simplify right side
    10,564.33x = 98,953,648.98
  5. Step 5: Solve for x
    x = 98,953,648.98/10,564.33
  6. Step 6: Final answer
    x = 9,366.77

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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.