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Finding the Fourth Proportional to 8,038.36, 12,047.28 and 6,994

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Solution

The fourth proportional to 8,038.36, 12,047.28 and 6,994 is: 10,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.36 : 12,047.28 = 6,994 : x
  2. Step 2: Convert to fraction form
    8,038.36/12,047.28 = 6,994/x
  3. Step 3: Cross multiply
    8,038.36x = 12,047.28 × 6,994
  4. Step 4: Simplify right side
    8,038.36x = 84,258,676.32
  5. Step 5: Solve for x
    x = 84,258,676.32/8,038.36
  6. Step 6: Final answer
    x = 10,482.07

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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.