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Finding the Fourth Proportional to 10,398.44, 15,598.96 and 4,774.76

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Solution

The fourth proportional to 10,398.44, 15,598.96 and 4,774.76 is: 7,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.44 : 15,598.96 = 4,774.76 : x
  2. Step 2: Convert to fraction form
    10,398.44/15,598.96 = 4,774.76/x
  3. Step 3: Cross multiply
    10,398.44x = 15,598.96 × 4,774.76
  4. Step 4: Simplify right side
    10,398.44x = 74,481,290.25
  5. Step 5: Solve for x
    x = 74,481,290.25/10,398.44
  6. Step 6: Final answer
    x = 7,162.74

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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.