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Finding the Fourth Proportional to 7,146.46, 9,860.42 and 4,160.50

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Solution

The fourth proportional to 7,146.46, 9,860.42 and 4,160.50 is: 5,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.46 : 9,860.42 = 4,160.50 : x
  2. Step 2: Convert to fraction form
    7,146.46/9,860.42 = 4,160.50/x
  3. Step 3: Cross multiply
    7,146.46x = 9,860.42 × 4,160.50
  4. Step 4: Simplify right side
    7,146.46x = 41,024,277.41
  5. Step 5: Solve for x
    x = 41,024,277.41/7,146.46
  6. Step 6: Final answer
    x = 5,740.50

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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.