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Finding the Fourth Proportional to 10,304.76, 14,221.08 and 6,056.06

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Solution

The fourth proportional to 10,304.76, 14,221.08 and 6,056.06 is: 8,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.76 : 14,221.08 = 6,056.06 : x
  2. Step 2: Convert to fraction form
    10,304.76/14,221.08 = 6,056.06/x
  3. Step 3: Cross multiply
    10,304.76x = 14,221.08 × 6,056.06
  4. Step 4: Simplify right side
    10,304.76x = 86,123,713.74
  5. Step 5: Solve for x
    x = 86,123,713.74/10,304.76
  6. Step 6: Final answer
    x = 8,357.66

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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.