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Finding the Fourth Proportional to 10,574.84, 14,593.78 and 6,383

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Solution

The fourth proportional to 10,574.84, 14,593.78 and 6,383 is: 8,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.84 : 14,593.78 = 6,383 : x
  2. Step 2: Convert to fraction form
    10,574.84/14,593.78 = 6,383/x
  3. Step 3: Cross multiply
    10,574.84x = 14,593.78 × 6,383
  4. Step 4: Simplify right side
    10,574.84x = 93,152,097.74
  5. Step 5: Solve for x
    x = 93,152,097.74/10,574.84
  6. Step 6: Final answer
    x = 8,808.84

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