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Finding the Fourth Proportional to 27,483.36, 41,225.76 and 7,764

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Solution

The fourth proportional to 27,483.36, 41,225.76 and 7,764 is: 11,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,483.36 : 41,225.76 = 7,764 : x
  2. Step 2: Convert to fraction form
    27,483.36/41,225.76 = 7,764/x
  3. Step 3: Cross multiply
    27,483.36x = 41,225.76 × 7,764
  4. Step 4: Simplify right side
    27,483.36x = 320,076,800.64
  5. Step 5: Solve for x
    x = 320,076,800.64/27,483.36
  6. Step 6: Final answer
    x = 11,646.20

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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.