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Finding the Fourth Proportional to 10,333.30, 14,262.01 and 6,140.74

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Solution

The fourth proportional to 10,333.30, 14,262.01 and 6,140.74 is: 8,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.30 : 14,262.01 = 6,140.74 : x
  2. Step 2: Convert to fraction form
    10,333.30/14,262.01 = 6,140.74/x
  3. Step 3: Cross multiply
    10,333.30x = 14,262.01 × 6,140.74
  4. Step 4: Simplify right side
    10,333.30x = 87,579,295.29
  5. Step 5: Solve for x
    x = 87,579,295.29/10,333.30
  6. Step 6: Final answer
    x = 8,475.44

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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.