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Finding the Fourth Proportional to 10,405.96, 15,617.14 and 4,566.60

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Solution

The fourth proportional to 10,405.96, 15,617.14 and 4,566.60 is: 6,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.96 : 15,617.14 = 4,566.60 : x
  2. Step 2: Convert to fraction form
    10,405.96/15,617.14 = 4,566.60/x
  3. Step 3: Cross multiply
    10,405.96x = 15,617.14 × 4,566.60
  4. Step 4: Simplify right side
    10,405.96x = 71,317,231.52
  5. Step 5: Solve for x
    x = 71,317,231.52/10,405.96
  6. Step 6: Final answer
    x = 6,853.50

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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.