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Finding the Fourth Proportional to 10,504.66, 15,762.48 and 6,805.93

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Solution

The fourth proportional to 10,504.66, 15,762.48 and 6,805.93 is: 10,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.66 : 15,762.48 = 6,805.93 : x
  2. Step 2: Convert to fraction form
    10,504.66/15,762.48 = 6,805.93/x
  3. Step 3: Cross multiply
    10,504.66x = 15,762.48 × 6,805.93
  4. Step 4: Simplify right side
    10,504.66x = 107,278,335.51
  5. Step 5: Solve for x
    x = 107,278,335.51/10,504.66
  6. Step 6: Final answer
    x = 10,212.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.