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Finding the Fourth Proportional to 10,301.88, 14,216.94 and 6,578.04

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Solution

The fourth proportional to 10,301.88, 14,216.94 and 6,578.04 is: 9,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.88 : 14,216.94 = 6,578.04 : x
  2. Step 2: Convert to fraction form
    10,301.88/14,216.94 = 6,578.04/x
  3. Step 3: Cross multiply
    10,301.88x = 14,216.94 × 6,578.04
  4. Step 4: Simplify right side
    10,301.88x = 93,519,600.00
  5. Step 5: Solve for x
    x = 93,519,600.00/10,301.88
  6. Step 6: Final answer
    x = 9,077.92

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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.