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Finding the Fourth Proportional to 10,466.76, 14,443.26 and 5,750.88

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Solution

The fourth proportional to 10,466.76, 14,443.26 and 5,750.88 is: 7,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.76 : 14,443.26 = 5,750.88 : x
  2. Step 2: Convert to fraction form
    10,466.76/14,443.26 = 5,750.88/x
  3. Step 3: Cross multiply
    10,466.76x = 14,443.26 × 5,750.88
  4. Step 4: Simplify right side
    10,466.76x = 83,061,455.07
  5. Step 5: Solve for x
    x = 83,061,455.07/10,466.76
  6. Step 6: Final answer
    x = 7,935.74

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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.