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Finding the Fourth Proportional to 10,602.46, 14,633.14 and 5,888.26

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Solution

The fourth proportional to 10,602.46, 14,633.14 and 5,888.26 is: 8,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.46 : 14,633.14 = 5,888.26 : x
  2. Step 2: Convert to fraction form
    10,602.46/14,633.14 = 5,888.26/x
  3. Step 3: Cross multiply
    10,602.46x = 14,633.14 × 5,888.26
  4. Step 4: Simplify right side
    10,602.46x = 86,163,732.94
  5. Step 5: Solve for x
    x = 86,163,732.94/10,602.46
  6. Step 6: Final answer
    x = 8,126.77

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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.