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Finding the Fourth Proportional to 10,536.62, 14,534.10 and 6,758.51

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Solution

The fourth proportional to 10,536.62, 14,534.10 and 6,758.51 is: 9,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.62 : 14,534.10 = 6,758.51 : x
  2. Step 2: Convert to fraction form
    10,536.62/14,534.10 = 6,758.51/x
  3. Step 3: Cross multiply
    10,536.62x = 14,534.10 × 6,758.51
  4. Step 4: Simplify right side
    10,536.62x = 98,228,787.52
  5. Step 5: Solve for x
    x = 98,228,787.52/10,536.62
  6. Step 6: Final answer
    x = 9,322.61

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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.