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Finding the Fourth Proportional to 10,455.63, 14,429.52 and 5,980.74

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Solution

The fourth proportional to 10,455.63, 14,429.52 and 5,980.74 is: 8,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.63 : 14,429.52 = 5,980.74 : x
  2. Step 2: Convert to fraction form
    10,455.63/14,429.52 = 5,980.74/x
  3. Step 3: Cross multiply
    10,455.63x = 14,429.52 × 5,980.74
  4. Step 4: Simplify right side
    10,455.63x = 86,299,207.44
  5. Step 5: Solve for x
    x = 86,299,207.44/10,455.63
  6. Step 6: Final answer
    x = 8,253.85

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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.