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Finding the Fourth Proportional to 11,977.60, 17,966.40 and 7,603.60

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Solution

The fourth proportional to 11,977.60, 17,966.40 and 7,603.60 is: 11,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.60 : 17,966.40 = 7,603.60 : x
  2. Step 2: Convert to fraction form
    11,977.60/17,966.40 = 7,603.60/x
  3. Step 3: Cross multiply
    11,977.60x = 17,966.40 × 7,603.60
  4. Step 4: Simplify right side
    11,977.60x = 136,609,319.04
  5. Step 5: Solve for x
    x = 136,609,319.04/11,977.60
  6. Step 6: Final answer
    x = 11,405.40

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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.