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Finding the Fourth Proportional to 10,239, 15,358.80 and 2,844

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Solution

The fourth proportional to 10,239, 15,358.80 and 2,844 is: 4,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239 : 15,358.80 = 2,844 : x
  2. Step 2: Convert to fraction form
    10,239/15,358.80 = 2,844/x
  3. Step 3: Cross multiply
    10,239x = 15,358.80 × 2,844
  4. Step 4: Simplify right side
    10,239x = 43,680,427.20
  5. Step 5: Solve for x
    x = 43,680,427.20/10,239
  6. Step 6: Final answer
    x = 4,266.08

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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.