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Finding the Fourth Proportional to 12,140.48, 16,755.19 and 7,664.00

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Solution

The fourth proportional to 12,140.48, 16,755.19 and 7,664.00 is: 10,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.48 : 16,755.19 = 7,664.00 : x
  2. Step 2: Convert to fraction form
    12,140.48/16,755.19 = 7,664.00/x
  3. Step 3: Cross multiply
    12,140.48x = 16,755.19 × 7,664.00
  4. Step 4: Simplify right side
    12,140.48x = 128,411,673.22
  5. Step 5: Solve for x
    x = 128,411,673.22/12,140.48
  6. Step 6: Final answer
    x = 10,577.15

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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.