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Finding the Fourth Proportional to 10,790.38, 14,892.93 and 6,808.81

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Solution

The fourth proportional to 10,790.38, 14,892.93 and 6,808.81 is: 9,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790.38 : 14,892.93 = 6,808.81 : x
  2. Step 2: Convert to fraction form
    10,790.38/14,892.93 = 6,808.81/x
  3. Step 3: Cross multiply
    10,790.38x = 14,892.93 × 6,808.81
  4. Step 4: Simplify right side
    10,790.38x = 101,403,130.71
  5. Step 5: Solve for x
    x = 101,403,130.71/10,790.38
  6. Step 6: Final answer
    x = 9,397.55

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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.