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Finding the Fourth Proportional to 10,828.94, 14,946.41 and 7,045.43

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Solution

The fourth proportional to 10,828.94, 14,946.41 and 7,045.43 is: 9,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.94 : 14,946.41 = 7,045.43 : x
  2. Step 2: Convert to fraction form
    10,828.94/14,946.41 = 7,045.43/x
  3. Step 3: Cross multiply
    10,828.94x = 14,946.41 × 7,045.43
  4. Step 4: Simplify right side
    10,828.94x = 105,303,850.18
  5. Step 5: Solve for x
    x = 105,303,850.18/10,828.94
  6. Step 6: Final answer
    x = 9,724.30

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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.