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Finding the Fourth Proportional to 10,298.80, 15,426.60 and 8,097.04

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Solution

The fourth proportional to 10,298.80, 15,426.60 and 8,097.04 is: 12,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.80 : 15,426.60 = 8,097.04 : x
  2. Step 2: Convert to fraction form
    10,298.80/15,426.60 = 8,097.04/x
  3. Step 3: Cross multiply
    10,298.80x = 15,426.60 × 8,097.04
  4. Step 4: Simplify right side
    10,298.80x = 124,909,797.26
  5. Step 5: Solve for x
    x = 124,909,797.26/10,298.80
  6. Step 6: Final answer
    x = 12,128.58

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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.