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Finding the Fourth Proportional to 10,547.42, 14,553.54 and 6,010.07

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Solution

The fourth proportional to 10,547.42, 14,553.54 and 6,010.07 is: 8,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.42 : 14,553.54 = 6,010.07 : x
  2. Step 2: Convert to fraction form
    10,547.42/14,553.54 = 6,010.07/x
  3. Step 3: Cross multiply
    10,547.42x = 14,553.54 × 6,010.07
  4. Step 4: Simplify right side
    10,547.42x = 87,467,721.38
  5. Step 5: Solve for x
    x = 87,467,721.38/10,547.42
  6. Step 6: Final answer
    x = 8,292.81

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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.