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Finding the Fourth Proportional to 10,178.70, 15,245.48 and 7,821.35

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Solution

The fourth proportional to 10,178.70, 15,245.48 and 7,821.35 is: 11,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.70 : 15,245.48 = 7,821.35 : x
  2. Step 2: Convert to fraction form
    10,178.70/15,245.48 = 7,821.35/x
  3. Step 3: Cross multiply
    10,178.70x = 15,245.48 × 7,821.35
  4. Step 4: Simplify right side
    10,178.70x = 119,240,235.49
  5. Step 5: Solve for x
    x = 119,240,235.49/10,178.70
  6. Step 6: Final answer
    x = 11,714.69

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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.