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Finding the Fourth Proportional to 10,514.84, 14,505.63 and 6,736.19

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Solution

The fourth proportional to 10,514.84, 14,505.63 and 6,736.19 is: 9,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.84 : 14,505.63 = 6,736.19 : x
  2. Step 2: Convert to fraction form
    10,514.84/14,505.63 = 6,736.19/x
  3. Step 3: Cross multiply
    10,514.84x = 14,505.63 × 6,736.19
  4. Step 4: Simplify right side
    10,514.84x = 97,712,607.22
  5. Step 5: Solve for x
    x = 97,712,607.22/10,514.84
  6. Step 6: Final answer
    x = 9,292.83

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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.