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Finding the Fourth Proportional to 10,373.84, 14,318.12 and 6,123.32

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Solution

The fourth proportional to 10,373.84, 14,318.12 and 6,123.32 is: 8,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.84 : 14,318.12 = 6,123.32 : x
  2. Step 2: Convert to fraction form
    10,373.84/14,318.12 = 6,123.32/x
  3. Step 3: Cross multiply
    10,373.84x = 14,318.12 × 6,123.32
  4. Step 4: Simplify right side
    10,373.84x = 87,674,430.56
  5. Step 5: Solve for x
    x = 87,674,430.56/10,373.84
  6. Step 6: Final answer
    x = 8,451.49

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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.