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Finding the Fourth Proportional to 10,202.68, 15,303.60 and 2,807.08

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Solution

The fourth proportional to 10,202.68, 15,303.60 and 2,807.08 is: 4,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.68 : 15,303.60 = 2,807.08 : x
  2. Step 2: Convert to fraction form
    10,202.68/15,303.60 = 2,807.08/x
  3. Step 3: Cross multiply
    10,202.68x = 15,303.60 × 2,807.08
  4. Step 4: Simplify right side
    10,202.68x = 42,958,429.49
  5. Step 5: Solve for x
    x = 42,958,429.49/10,202.68
  6. Step 6: Final answer
    x = 4,210.50

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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.