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Finding the Fourth Proportional to 10,338.36, 14,266.98 and 6,146.52

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Solution

The fourth proportional to 10,338.36, 14,266.98 and 6,146.52 is: 8,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.36 : 14,266.98 = 6,146.52 : x
  2. Step 2: Convert to fraction form
    10,338.36/14,266.98 = 6,146.52/x
  3. Step 3: Cross multiply
    10,338.36x = 14,266.98 × 6,146.52
  4. Step 4: Simplify right side
    10,338.36x = 87,692,277.91
  5. Step 5: Solve for x
    x = 87,692,277.91/10,338.36
  6. Step 6: Final answer
    x = 8,482.22

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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.