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Finding the Fourth Proportional to 10,841.04, 16,274.51 and 6,460.56

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Solution

The fourth proportional to 10,841.04, 16,274.51 and 6,460.56 is: 9,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.04 : 16,274.51 = 6,460.56 : x
  2. Step 2: Convert to fraction form
    10,841.04/16,274.51 = 6,460.56/x
  3. Step 3: Cross multiply
    10,841.04x = 16,274.51 × 6,460.56
  4. Step 4: Simplify right side
    10,841.04x = 105,142,416.02
  5. Step 5: Solve for x
    x = 105,142,416.02/10,841.04
  6. Step 6: Final answer
    x = 9,698.55

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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.