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Finding the Fourth Proportional to 11,421.63, 15,762.45 and 6,944.65

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Solution

The fourth proportional to 11,421.63, 15,762.45 and 6,944.65 is: 9,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.63 : 15,762.45 = 6,944.65 : x
  2. Step 2: Convert to fraction form
    11,421.63/15,762.45 = 6,944.65/x
  3. Step 3: Cross multiply
    11,421.63x = 15,762.45 × 6,944.65
  4. Step 4: Simplify right side
    11,421.63x = 109,464,698.39
  5. Step 5: Solve for x
    x = 109,464,698.39/11,421.63
  6. Step 6: Final answer
    x = 9,583.98

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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.