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Finding the Fourth Proportional to 11,783.48, 16,262.76 and 7,603.88

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Solution

The fourth proportional to 11,783.48, 16,262.76 and 7,603.88 is: 10,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.48 : 16,262.76 = 7,603.88 : x
  2. Step 2: Convert to fraction form
    11,783.48/16,262.76 = 7,603.88/x
  3. Step 3: Cross multiply
    11,783.48x = 16,262.76 × 7,603.88
  4. Step 4: Simplify right side
    11,783.48x = 123,660,075.51
  5. Step 5: Solve for x
    x = 123,660,075.51/11,783.48
  6. Step 6: Final answer
    x = 10,494.36

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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.