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Finding the Fourth Proportional to 8,982.65, 13,478.54 and 4,051.19

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Solution

The fourth proportional to 8,982.65, 13,478.54 and 4,051.19 is: 6,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.65 : 13,478.54 = 4,051.19 : x
  2. Step 2: Convert to fraction form
    8,982.65/13,478.54 = 4,051.19/x
  3. Step 3: Cross multiply
    8,982.65x = 13,478.54 × 4,051.19
  4. Step 4: Simplify right side
    8,982.65x = 54,604,038.81
  5. Step 5: Solve for x
    x = 54,604,038.81/8,982.65
  6. Step 6: Final answer
    x = 6,078.84

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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.