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Finding the Fourth Proportional to 10,102.55, 15,153.59 and 2,706.99

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Solution

The fourth proportional to 10,102.55, 15,153.59 and 2,706.99 is: 4,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.55 : 15,153.59 = 2,706.99 : x
  2. Step 2: Convert to fraction form
    10,102.55/15,153.59 = 2,706.99/x
  3. Step 3: Cross multiply
    10,102.55x = 15,153.59 × 2,706.99
  4. Step 4: Simplify right side
    10,102.55x = 41,020,603.06
  5. Step 5: Solve for x
    x = 41,020,603.06/10,102.55
  6. Step 6: Final answer
    x = 4,060.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.