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Finding the Fourth Proportional to 10,146.52, 13,994.76 and 6,783.42

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Solution

The fourth proportional to 10,146.52, 13,994.76 and 6,783.42 is: 9,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.52 : 13,994.76 = 6,783.42 : x
  2. Step 2: Convert to fraction form
    10,146.52/13,994.76 = 6,783.42/x
  3. Step 3: Cross multiply
    10,146.52x = 13,994.76 × 6,783.42
  4. Step 4: Simplify right side
    10,146.52x = 94,932,334.88
  5. Step 5: Solve for x
    x = 94,932,334.88/10,146.52
  6. Step 6: Final answer
    x = 9,356.15

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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.