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Finding the Fourth Proportional to 10,534.42, 14,539.17 and 8,012.47

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Solution

The fourth proportional to 10,534.42, 14,539.17 and 8,012.47 is: 11,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.42 : 14,539.17 = 8,012.47 : x
  2. Step 2: Convert to fraction form
    10,534.42/14,539.17 = 8,012.47/x
  3. Step 3: Cross multiply
    10,534.42x = 14,539.17 × 8,012.47
  4. Step 4: Simplify right side
    10,534.42x = 116,494,663.45
  5. Step 5: Solve for x
    x = 116,494,663.45/10,534.42
  6. Step 6: Final answer
    x = 11,058.48

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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.