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Finding the Fourth Proportional to 10,857.50, 14,981.54 and 6,823.70

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Solution

The fourth proportional to 10,857.50, 14,981.54 and 6,823.70 is: 9,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.50 : 14,981.54 = 6,823.70 : x
  2. Step 2: Convert to fraction form
    10,857.50/14,981.54 = 6,823.70/x
  3. Step 3: Cross multiply
    10,857.50x = 14,981.54 × 6,823.70
  4. Step 4: Simplify right side
    10,857.50x = 102,229,534.50
  5. Step 5: Solve for x
    x = 102,229,534.50/10,857.50
  6. Step 6: Final answer
    x = 9,415.57

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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.