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Finding the Fourth Proportional to 10,658.88, 14,710.16 and 5,942.52

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Solution

The fourth proportional to 10,658.88, 14,710.16 and 5,942.52 is: 8,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.88 : 14,710.16 = 5,942.52 : x
  2. Step 2: Convert to fraction form
    10,658.88/14,710.16 = 5,942.52/x
  3. Step 3: Cross multiply
    10,658.88x = 14,710.16 × 5,942.52
  4. Step 4: Simplify right side
    10,658.88x = 87,415,420.00
  5. Step 5: Solve for x
    x = 87,415,420.00/10,658.88
  6. Step 6: Final answer
    x = 8,201.18

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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.