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Finding the Fourth Proportional to 10,146.94, 14,001.81 and 6,368.90

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Solution

The fourth proportional to 10,146.94, 14,001.81 and 6,368.90 is: 8,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.94 : 14,001.81 = 6,368.90 : x
  2. Step 2: Convert to fraction form
    10,146.94/14,001.81 = 6,368.90/x
  3. Step 3: Cross multiply
    10,146.94x = 14,001.81 × 6,368.90
  4. Step 4: Simplify right side
    10,146.94x = 89,176,069.64
  5. Step 5: Solve for x
    x = 89,176,069.64/10,146.94
  6. Step 6: Final answer
    x = 8,788.47

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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.