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Finding the Fourth Proportional to 10,262.84, 14,162.67 and 5,547.11

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Solution

The fourth proportional to 10,262.84, 14,162.67 and 5,547.11 is: 7,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.84 : 14,162.67 = 5,547.11 : x
  2. Step 2: Convert to fraction form
    10,262.84/14,162.67 = 5,547.11/x
  3. Step 3: Cross multiply
    10,262.84x = 14,162.67 × 5,547.11
  4. Step 4: Simplify right side
    10,262.84x = 78,561,888.38
  5. Step 5: Solve for x
    x = 78,561,888.38/10,262.84
  6. Step 6: Final answer
    x = 7,654.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.