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Finding the Fourth Proportional to 10,455.56, 14,425.80 and 6,476.84

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Solution

The fourth proportional to 10,455.56, 14,425.80 and 6,476.84 is: 8,936.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.56 : 14,425.80 = 6,476.84 : x
  2. Step 2: Convert to fraction form
    10,455.56/14,425.80 = 6,476.84/x
  3. Step 3: Cross multiply
    10,455.56x = 14,425.80 × 6,476.84
  4. Step 4: Simplify right side
    10,455.56x = 93,433,598.47
  5. Step 5: Solve for x
    x = 93,433,598.47/10,455.56
  6. Step 6: Final answer
    x = 8,936.26

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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.