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Finding the Fourth Proportional to 11,510.98, 17,182.43 and 9,878.02

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Solution

The fourth proportional to 11,510.98, 17,182.43 and 9,878.02 is: 14,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.98 : 17,182.43 = 9,878.02 : x
  2. Step 2: Convert to fraction form
    11,510.98/17,182.43 = 9,878.02/x
  3. Step 3: Cross multiply
    11,510.98x = 17,182.43 × 9,878.02
  4. Step 4: Simplify right side
    11,510.98x = 169,728,331.89
  5. Step 5: Solve for x
    x = 169,728,331.89/11,510.98
  6. Step 6: Final answer
    x = 14,744.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.