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Finding the Fourth Proportional to 10,373.78, 14,315.83 and 5,658.07

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Solution

The fourth proportional to 10,373.78, 14,315.83 and 5,658.07 is: 7,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.78 : 14,315.83 = 5,658.07 : x
  2. Step 2: Convert to fraction form
    10,373.78/14,315.83 = 5,658.07/x
  3. Step 3: Cross multiply
    10,373.78x = 14,315.83 × 5,658.07
  4. Step 4: Simplify right side
    10,373.78x = 80,999,912.61
  5. Step 5: Solve for x
    x = 80,999,912.61/10,373.78
  6. Step 6: Final answer
    x = 7,808.14

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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.