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Finding the Fourth Proportional to 10,076.84, 15,013.97 and 9,510.95

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Solution

The fourth proportional to 10,076.84, 15,013.97 and 9,510.95 is: 14,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.84 : 15,013.97 = 9,510.95 : x
  2. Step 2: Convert to fraction form
    10,076.84/15,013.97 = 9,510.95/x
  3. Step 3: Cross multiply
    10,076.84x = 15,013.97 × 9,510.95
  4. Step 4: Simplify right side
    10,076.84x = 142,796,995.35
  5. Step 5: Solve for x
    x = 142,796,995.35/10,076.84
  6. Step 6: Final answer
    x = 14,170.82

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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.