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Finding the Fourth Proportional to 10,298.65, 15,448.80 and 2,903.71

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Solution

The fourth proportional to 10,298.65, 15,448.80 and 2,903.71 is: 4,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.65 : 15,448.80 = 2,903.71 : x
  2. Step 2: Convert to fraction form
    10,298.65/15,448.80 = 2,903.71/x
  3. Step 3: Cross multiply
    10,298.65x = 15,448.80 × 2,903.71
  4. Step 4: Simplify right side
    10,298.65x = 44,858,835.05
  5. Step 5: Solve for x
    x = 44,858,835.05/10,298.65
  6. Step 6: Final answer
    x = 4,355.80

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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.