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Finding the Fourth Proportional to 10,246.36, 15,368.78 and 4,005.20

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Solution

The fourth proportional to 10,246.36, 15,368.78 and 4,005.20 is: 6,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.36 : 15,368.78 = 4,005.20 : x
  2. Step 2: Convert to fraction form
    10,246.36/15,368.78 = 4,005.20/x
  3. Step 3: Cross multiply
    10,246.36x = 15,368.78 × 4,005.20
  4. Step 4: Simplify right side
    10,246.36x = 61,555,037.66
  5. Step 5: Solve for x
    x = 61,555,037.66/10,246.36
  6. Step 6: Final answer
    x = 6,007.50

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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.