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Finding the Fourth Proportional to 10,214.58, 14,102.03 and 6,683.95

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Solution

The fourth proportional to 10,214.58, 14,102.03 and 6,683.95 is: 9,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.58 : 14,102.03 = 6,683.95 : x
  2. Step 2: Convert to fraction form
    10,214.58/14,102.03 = 6,683.95/x
  3. Step 3: Cross multiply
    10,214.58x = 14,102.03 × 6,683.95
  4. Step 4: Simplify right side
    10,214.58x = 94,257,263.42
  5. Step 5: Solve for x
    x = 94,257,263.42/10,214.58
  6. Step 6: Final answer
    x = 9,227.72

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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.