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Finding the Fourth Proportional to 10,677.84, 16,016.64 and 4,830.40

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Solution

The fourth proportional to 10,677.84, 16,016.64 and 4,830.40 is: 7,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.84 : 16,016.64 = 4,830.40 : x
  2. Step 2: Convert to fraction form
    10,677.84/16,016.64 = 4,830.40/x
  3. Step 3: Cross multiply
    10,677.84x = 16,016.64 × 4,830.40
  4. Step 4: Simplify right side
    10,677.84x = 77,366,777.86
  5. Step 5: Solve for x
    x = 77,366,777.86/10,677.84
  6. Step 6: Final answer
    x = 7,245.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.