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Finding the Fourth Proportional to 10,542.21, 14,554.98 and 6,569.16

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Solution

The fourth proportional to 10,542.21, 14,554.98 and 6,569.16 is: 9,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.21 : 14,554.98 = 6,569.16 : x
  2. Step 2: Convert to fraction form
    10,542.21/14,554.98 = 6,569.16/x
  3. Step 3: Cross multiply
    10,542.21x = 14,554.98 × 6,569.16
  4. Step 4: Simplify right side
    10,542.21x = 95,613,992.42
  5. Step 5: Solve for x
    x = 95,613,992.42/10,542.21
  6. Step 6: Final answer
    x = 9,069.63

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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.