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Finding the Fourth Proportional to 10,298.99, 15,442.95 and 3,277.10

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Solution

The fourth proportional to 10,298.99, 15,442.95 and 3,277.10 is: 4,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.99 : 15,442.95 = 3,277.10 : x
  2. Step 2: Convert to fraction form
    10,298.99/15,442.95 = 3,277.10/x
  3. Step 3: Cross multiply
    10,298.99x = 15,442.95 × 3,277.10
  4. Step 4: Simplify right side
    10,298.99x = 50,608,091.45
  5. Step 5: Solve for x
    x = 50,608,091.45/10,298.99
  6. Step 6: Final answer
    x = 4,913.89

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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.