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Finding the Fourth Proportional to 10,770.98, 14,864.64 and 6,055.57

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Solution

The fourth proportional to 10,770.98, 14,864.64 and 6,055.57 is: 8,357.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.98 : 14,864.64 = 6,055.57 : x
  2. Step 2: Convert to fraction form
    10,770.98/14,864.64 = 6,055.57/x
  3. Step 3: Cross multiply
    10,770.98x = 14,864.64 × 6,055.57
  4. Step 4: Simplify right side
    10,770.98x = 90,013,830.88
  5. Step 5: Solve for x
    x = 90,013,830.88/10,770.98
  6. Step 6: Final answer
    x = 8,357.07

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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.