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Finding the Fourth Proportional to 10,770.19, 14,862.71 and 6,054.48

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Solution

The fourth proportional to 10,770.19, 14,862.71 and 6,054.48 is: 8,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.19 : 14,862.71 = 6,054.48 : x
  2. Step 2: Convert to fraction form
    10,770.19/14,862.71 = 6,054.48/x
  3. Step 3: Cross multiply
    10,770.19x = 14,862.71 × 6,054.48
  4. Step 4: Simplify right side
    10,770.19x = 89,985,980.44
  5. Step 5: Solve for x
    x = 89,985,980.44/10,770.19
  6. Step 6: Final answer
    x = 8,355.10

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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.