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Finding the Fourth Proportional to 10,514.96, 14,510.08 and 5,798.32

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Solution

The fourth proportional to 10,514.96, 14,510.08 and 5,798.32 is: 8,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.96 : 14,510.08 = 5,798.32 : x
  2. Step 2: Convert to fraction form
    10,514.96/14,510.08 = 5,798.32/x
  3. Step 3: Cross multiply
    10,514.96x = 14,510.08 × 5,798.32
  4. Step 4: Simplify right side
    10,514.96x = 84,134,087.07
  5. Step 5: Solve for x
    x = 84,134,087.07/10,514.96
  6. Step 6: Final answer
    x = 8,001.37

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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.