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Finding the Fourth Proportional to 7,174.12, 10,761.80 and 1,980.00

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Solution

The fourth proportional to 7,174.12, 10,761.80 and 1,980.00 is: 2,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.12 : 10,761.80 = 1,980.00 : x
  2. Step 2: Convert to fraction form
    7,174.12/10,761.80 = 1,980.00/x
  3. Step 3: Cross multiply
    7,174.12x = 10,761.80 × 1,980.00
  4. Step 4: Simplify right side
    7,174.12x = 21,308,307.72
  5. Step 5: Solve for x
    x = 21,308,307.72/7,174.12
  6. Step 6: Final answer
    x = 2,970.16

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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.