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Finding the Fourth Proportional to 10,498.98, 14,474.07 and 7,509.60

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Solution

The fourth proportional to 10,498.98, 14,474.07 and 7,509.60 is: 10,352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.98 : 14,474.07 = 7,509.60 : x
  2. Step 2: Convert to fraction form
    10,498.98/14,474.07 = 7,509.60/x
  3. Step 3: Cross multiply
    10,498.98x = 14,474.07 × 7,509.60
  4. Step 4: Simplify right side
    10,498.98x = 108,694,476.07
  5. Step 5: Solve for x
    x = 108,694,476.07/10,498.98
  6. Step 6: Final answer
    x = 10,352.86

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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.