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Finding the Fourth Proportional to 10,298.40, 15,447.60 and 5,114.40

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Solution

The fourth proportional to 10,298.40, 15,447.60 and 5,114.40 is: 7,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.40 : 15,447.60 = 5,114.40 : x
  2. Step 2: Convert to fraction form
    10,298.40/15,447.60 = 5,114.40/x
  3. Step 3: Cross multiply
    10,298.40x = 15,447.60 × 5,114.40
  4. Step 4: Simplify right side
    10,298.40x = 79,005,205.44
  5. Step 5: Solve for x
    x = 79,005,205.44/10,298.40
  6. Step 6: Final answer
    x = 7,671.60

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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.