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Finding the Fourth Proportional to 7,154.46, 10,674.59 and 6,102.54

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Solution

The fourth proportional to 7,154.46, 10,674.59 and 6,102.54 is: 9,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.46 : 10,674.59 = 6,102.54 : x
  2. Step 2: Convert to fraction form
    7,154.46/10,674.59 = 6,102.54/x
  3. Step 3: Cross multiply
    7,154.46x = 10,674.59 × 6,102.54
  4. Step 4: Simplify right side
    7,154.46x = 65,142,081.95
  5. Step 5: Solve for x
    x = 65,142,081.95/7,154.46
  6. Step 6: Final answer
    x = 9,105.10

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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.