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Finding the Fourth Proportional to 8,803.14, 12,148.50 and 4,824

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Solution

The fourth proportional to 8,803.14, 12,148.50 and 4,824 is: 6,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,803.14 : 12,148.50 = 4,824 : x
  2. Step 2: Convert to fraction form
    8,803.14/12,148.50 = 4,824/x
  3. Step 3: Cross multiply
    8,803.14x = 12,148.50 × 4,824
  4. Step 4: Simplify right side
    8,803.14x = 58,604,364
  5. Step 5: Solve for x
    x = 58,604,364/8,803.14
  6. Step 6: Final answer
    x = 6,657.21

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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.