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Finding the Fourth Proportional to 12,965.76, 17,892.36 and 7,300.80

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Solution

The fourth proportional to 12,965.76, 17,892.36 and 7,300.80 is: 10,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.76 : 17,892.36 = 7,300.80 : x
  2. Step 2: Convert to fraction form
    12,965.76/17,892.36 = 7,300.80/x
  3. Step 3: Cross multiply
    12,965.76x = 17,892.36 × 7,300.80
  4. Step 4: Simplify right side
    12,965.76x = 130,628,541.89
  5. Step 5: Solve for x
    x = 130,628,541.89/12,965.76
  6. Step 6: Final answer
    x = 10,074.89

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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.