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Finding the Fourth Proportional to 12,580.04, 17,357.64 and 7,274.72

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Solution

The fourth proportional to 12,580.04, 17,357.64 and 7,274.72 is: 10,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.04 : 17,357.64 = 7,274.72 : x
  2. Step 2: Convert to fraction form
    12,580.04/17,357.64 = 7,274.72/x
  3. Step 3: Cross multiply
    12,580.04x = 17,357.64 × 7,274.72
  4. Step 4: Simplify right side
    12,580.04x = 126,271,970.86
  5. Step 5: Solve for x
    x = 126,271,970.86/12,580.04
  6. Step 6: Final answer
    x = 10,037.49

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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.