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Finding the Fourth Proportional to 10,658.42, 14,708.64 and 6,184.82

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Solution

The fourth proportional to 10,658.42, 14,708.64 and 6,184.82 is: 8,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.42 : 14,708.64 = 6,184.82 : x
  2. Step 2: Convert to fraction form
    10,658.42/14,708.64 = 6,184.82/x
  3. Step 3: Cross multiply
    10,658.42x = 14,708.64 × 6,184.82
  4. Step 4: Simplify right side
    10,658.42x = 90,970,290.84
  5. Step 5: Solve for x
    x = 90,970,290.84/10,658.42
  6. Step 6: Final answer
    x = 8,535.06

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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.