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Finding the Fourth Proportional to 10,316.99, 15,478.86 and 3,298.16

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Solution

The fourth proportional to 10,316.99, 15,478.86 and 3,298.16 is: 4,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.99 : 15,478.86 = 3,298.16 : x
  2. Step 2: Convert to fraction form
    10,316.99/15,478.86 = 3,298.16/x
  3. Step 3: Cross multiply
    10,316.99x = 15,478.86 × 3,298.16
  4. Step 4: Simplify right side
    10,316.99x = 51,051,756.90
  5. Step 5: Solve for x
    x = 51,051,756.90/10,316.99
  6. Step 6: Final answer
    x = 4,948.32

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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.