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Finding the Fourth Proportional to 10,660.24, 14,710.09 and 6,184.29

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Solution

The fourth proportional to 10,660.24, 14,710.09 and 6,184.29 is: 8,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.24 : 14,710.09 = 6,184.29 : x
  2. Step 2: Convert to fraction form
    10,660.24/14,710.09 = 6,184.29/x
  3. Step 3: Cross multiply
    10,660.24x = 14,710.09 × 6,184.29
  4. Step 4: Simplify right side
    10,660.24x = 90,971,462.49
  5. Step 5: Solve for x
    x = 90,971,462.49/10,660.24
  6. Step 6: Final answer
    x = 8,533.72

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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.