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Finding the Fourth Proportional to 11,840.47, 17,763.56 and 4,445

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Solution

The fourth proportional to 11,840.47, 17,763.56 and 4,445 is: 6,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.47 : 17,763.56 = 4,445 : x
  2. Step 2: Convert to fraction form
    11,840.47/17,763.56 = 4,445/x
  3. Step 3: Cross multiply
    11,840.47x = 17,763.56 × 4,445
  4. Step 4: Simplify right side
    11,840.47x = 78,959,024.20
  5. Step 5: Solve for x
    x = 78,959,024.20/11,840.47
  6. Step 6: Final answer
    x = 6,668.57

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