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Finding the Fourth Proportional to 8,994.65, 13,459.16 and 5,298.62

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Solution

The fourth proportional to 8,994.65, 13,459.16 and 5,298.62 is: 7,928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,994.65 : 13,459.16 = 5,298.62 : x
  2. Step 2: Convert to fraction form
    8,994.65/13,459.16 = 5,298.62/x
  3. Step 3: Cross multiply
    8,994.65x = 13,459.16 × 5,298.62
  4. Step 4: Simplify right side
    8,994.65x = 71,314,920.31
  5. Step 5: Solve for x
    x = 71,314,920.31/8,994.65
  6. Step 6: Final answer
    x = 7,928.60

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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.