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Finding the Fourth Proportional to 11,977.04, 16,534.05 and 7,503.14

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Solution

The fourth proportional to 11,977.04, 16,534.05 and 7,503.14 is: 10,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.04 : 16,534.05 = 7,503.14 : x
  2. Step 2: Convert to fraction form
    11,977.04/16,534.05 = 7,503.14/x
  3. Step 3: Cross multiply
    11,977.04x = 16,534.05 × 7,503.14
  4. Step 4: Simplify right side
    11,977.04x = 124,057,291.92
  5. Step 5: Solve for x
    x = 124,057,291.92/11,977.04
  6. Step 6: Final answer
    x = 10,357.93

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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.