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Finding the Fourth Proportional to 10,818.16, 14,928.86 and 6,102.44

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Solution

The fourth proportional to 10,818.16, 14,928.86 and 6,102.44 is: 8,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.16 : 14,928.86 = 6,102.44 : x
  2. Step 2: Convert to fraction form
    10,818.16/14,928.86 = 6,102.44/x
  3. Step 3: Cross multiply
    10,818.16x = 14,928.86 × 6,102.44
  4. Step 4: Simplify right side
    10,818.16x = 91,102,472.42
  5. Step 5: Solve for x
    x = 91,102,472.42/10,818.16
  6. Step 6: Final answer
    x = 8,421.25

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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.