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Finding the Fourth Proportional to 8,825.40, 12,178.95 and 4,846.47

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Solution

The fourth proportional to 8,825.40, 12,178.95 and 4,846.47 is: 6,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.40 : 12,178.95 = 4,846.47 : x
  2. Step 2: Convert to fraction form
    8,825.40/12,178.95 = 4,846.47/x
  3. Step 3: Cross multiply
    8,825.40x = 12,178.95 × 4,846.47
  4. Step 4: Simplify right side
    8,825.40x = 59,024,915.81
  5. Step 5: Solve for x
    x = 59,024,915.81/8,825.40
  6. Step 6: Final answer
    x = 6,688.07

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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.