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Finding the Fourth Proportional to 10,503.33, 14,494.46 and 5,787.51

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Solution

The fourth proportional to 10,503.33, 14,494.46 and 5,787.51 is: 7,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.33 : 14,494.46 = 5,787.51 : x
  2. Step 2: Convert to fraction form
    10,503.33/14,494.46 = 5,787.51/x
  3. Step 3: Cross multiply
    10,503.33x = 14,494.46 × 5,787.51
  4. Step 4: Simplify right side
    10,503.33x = 83,886,832.19
  5. Step 5: Solve for x
    x = 83,886,832.19/10,503.33
  6. Step 6: Final answer
    x = 7,986.69

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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.