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Finding the Fourth Proportional to 7,055.59, 10,584.10 and 1,861.47

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Solution

The fourth proportional to 7,055.59, 10,584.10 and 1,861.47 is: 2,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.59 : 10,584.10 = 1,861.47 : x
  2. Step 2: Convert to fraction form
    7,055.59/10,584.10 = 1,861.47/x
  3. Step 3: Cross multiply
    7,055.59x = 10,584.10 × 1,861.47
  4. Step 4: Simplify right side
    7,055.59x = 19,701,984.63
  5. Step 5: Solve for x
    x = 19,701,984.63/7,055.59
  6. Step 6: Final answer
    x = 2,792.39

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Why These Related Problems?

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