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Finding the Fourth Proportional to 10,770.17, 14,864.23 and 6,055.36

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Solution

The fourth proportional to 10,770.17, 14,864.23 and 6,055.36 is: 8,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.17 : 14,864.23 = 6,055.36 : x
  2. Step 2: Convert to fraction form
    10,770.17/14,864.23 = 6,055.36/x
  3. Step 3: Cross multiply
    10,770.17x = 14,864.23 × 6,055.36
  4. Step 4: Simplify right side
    10,770.17x = 90,008,263.77
  5. Step 5: Solve for x
    x = 90,008,263.77/10,770.17
  6. Step 6: Final answer
    x = 8,357.18

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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.