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Finding the Fourth Proportional to 10,635.84, 14,678.82 and 6,159.78

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Solution

The fourth proportional to 10,635.84, 14,678.82 and 6,159.78 is: 8,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.84 : 14,678.82 = 6,159.78 : x
  2. Step 2: Convert to fraction form
    10,635.84/14,678.82 = 6,159.78/x
  3. Step 3: Cross multiply
    10,635.84x = 14,678.82 × 6,159.78
  4. Step 4: Simplify right side
    10,635.84x = 90,418,301.86
  5. Step 5: Solve for x
    x = 90,418,301.86/10,635.84
  6. Step 6: Final answer
    x = 8,501.28

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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.