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Finding the Fourth Proportional to 10,877.80, 16,307.10 and 9,711.40

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Solution

The fourth proportional to 10,877.80, 16,307.10 and 9,711.40 is: 14,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.80 : 16,307.10 = 9,711.40 : x
  2. Step 2: Convert to fraction form
    10,877.80/16,307.10 = 9,711.40/x
  3. Step 3: Cross multiply
    10,877.80x = 16,307.10 × 9,711.40
  4. Step 4: Simplify right side
    10,877.80x = 158,364,770.94
  5. Step 5: Solve for x
    x = 158,364,770.94/10,877.80
  6. Step 6: Final answer
    x = 14,558.53

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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.