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Finding the Fourth Proportional to 7,730.82, 10,668.40 and 4,373.50

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Solution

The fourth proportional to 7,730.82, 10,668.40 and 4,373.50 is: 6,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.82 : 10,668.40 = 4,373.50 : x
  2. Step 2: Convert to fraction form
    7,730.82/10,668.40 = 4,373.50/x
  3. Step 3: Cross multiply
    7,730.82x = 10,668.40 × 4,373.50
  4. Step 4: Simplify right side
    7,730.82x = 46,658,247.40
  5. Step 5: Solve for x
    x = 46,658,247.40/7,730.82
  6. Step 6: Final answer
    x = 6,035.36

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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.