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Finding the Fourth Proportional to 10,853.50, 14,980.01 and 6,378.70

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Solution

The fourth proportional to 10,853.50, 14,980.01 and 6,378.70 is: 8,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.50 : 14,980.01 = 6,378.70 : x
  2. Step 2: Convert to fraction form
    10,853.50/14,980.01 = 6,378.70/x
  3. Step 3: Cross multiply
    10,853.50x = 14,980.01 × 6,378.70
  4. Step 4: Simplify right side
    10,853.50x = 95,552,989.79
  5. Step 5: Solve for x
    x = 95,552,989.79/10,853.50
  6. Step 6: Final answer
    x = 8,803.89

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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.