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Finding the Fourth Proportional to 10,770.42, 14,863.05 and 6,055.50

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Solution

The fourth proportional to 10,770.42, 14,863.05 and 6,055.50 is: 8,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.42 : 14,863.05 = 6,055.50 : x
  2. Step 2: Convert to fraction form
    10,770.42/14,863.05 = 6,055.50/x
  3. Step 3: Cross multiply
    10,770.42x = 14,863.05 × 6,055.50
  4. Step 4: Simplify right side
    10,770.42x = 90,003,199.28
  5. Step 5: Solve for x
    x = 90,003,199.28/10,770.42
  6. Step 6: Final answer
    x = 8,356.52

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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.