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Finding the Fourth Proportional to 10,586.34, 14,602.46 and 8,064

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Solution

The fourth proportional to 10,586.34, 14,602.46 and 8,064 is: 11,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.34 : 14,602.46 = 8,064 : x
  2. Step 2: Convert to fraction form
    10,586.34/14,602.46 = 8,064/x
  3. Step 3: Cross multiply
    10,586.34x = 14,602.46 × 8,064
  4. Step 4: Simplify right side
    10,586.34x = 117,754,197.12
  5. Step 5: Solve for x
    x = 117,754,197.12/10,586.34
  6. Step 6: Final answer
    x = 11,123.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.