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Finding the Fourth Proportional to 10,503.47, 14,493.33 and 5,787.86

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Solution

The fourth proportional to 10,503.47, 14,493.33 and 5,787.86 is: 7,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.47 : 14,493.33 = 5,787.86 : x
  2. Step 2: Convert to fraction form
    10,503.47/14,493.33 = 5,787.86/x
  3. Step 3: Cross multiply
    10,503.47x = 14,493.33 × 5,787.86
  4. Step 4: Simplify right side
    10,503.47x = 83,885,292.51
  5. Step 5: Solve for x
    x = 83,885,292.51/10,503.47
  6. Step 6: Final answer
    x = 7,986.43

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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.