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Finding the Fourth Proportional to 10,287.36, 15,429.15 and 2,890.02

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Solution

The fourth proportional to 10,287.36, 15,429.15 and 2,890.02 is: 4,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.36 : 15,429.15 = 2,890.02 : x
  2. Step 2: Convert to fraction form
    10,287.36/15,429.15 = 2,890.02/x
  3. Step 3: Cross multiply
    10,287.36x = 15,429.15 × 2,890.02
  4. Step 4: Simplify right side
    10,287.36x = 44,590,552.08
  5. Step 5: Solve for x
    x = 44,590,552.08/10,287.36
  6. Step 6: Final answer
    x = 4,334.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.