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Finding the Fourth Proportional to 10,515.18, 15,783.71 and 7,744.98

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Solution

The fourth proportional to 10,515.18, 15,783.71 and 7,744.98 is: 11,625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.18 : 15,783.71 = 7,744.98 : x
  2. Step 2: Convert to fraction form
    10,515.18/15,783.71 = 7,744.98/x
  3. Step 3: Cross multiply
    10,515.18x = 15,783.71 × 7,744.98
  4. Step 4: Simplify right side
    10,515.18x = 122,244,518.28
  5. Step 5: Solve for x
    x = 122,244,518.28/10,515.18
  6. Step 6: Final answer
    x = 11,625.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.