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Finding the Fourth Proportional to 10,586.48, 14,602.68 and 6,860.24

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Solution

The fourth proportional to 10,586.48, 14,602.68 and 6,860.24 is: 9,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.48 : 14,602.68 = 6,860.24 : x
  2. Step 2: Convert to fraction form
    10,586.48/14,602.68 = 6,860.24/x
  3. Step 3: Cross multiply
    10,586.48x = 14,602.68 × 6,860.24
  4. Step 4: Simplify right side
    10,586.48x = 100,177,889.44
  5. Step 5: Solve for x
    x = 100,177,889.44/10,586.48
  6. Step 6: Final answer
    x = 9,462.81

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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.