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Finding the Fourth Proportional to 10,303.56, 14,219.16 and 6,111.84

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Solution

The fourth proportional to 10,303.56, 14,219.16 and 6,111.84 is: 8,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.56 : 14,219.16 = 6,111.84 : x
  2. Step 2: Convert to fraction form
    10,303.56/14,219.16 = 6,111.84/x
  3. Step 3: Cross multiply
    10,303.56x = 14,219.16 × 6,111.84
  4. Step 4: Simplify right side
    10,303.56x = 86,905,230.85
  5. Step 5: Solve for x
    x = 86,905,230.85/10,303.56
  6. Step 6: Final answer
    x = 8,434.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.