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Finding the Fourth Proportional to 10,405.29, 14,358.12 and 6,156.48

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Solution

The fourth proportional to 10,405.29, 14,358.12 and 6,156.48 is: 8,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.29 : 14,358.12 = 6,156.48 : x
  2. Step 2: Convert to fraction form
    10,405.29/14,358.12 = 6,156.48/x
  3. Step 3: Cross multiply
    10,405.29x = 14,358.12 × 6,156.48
  4. Step 4: Simplify right side
    10,405.29x = 88,395,478.62
  5. Step 5: Solve for x
    x = 88,395,478.62/10,405.29
  6. Step 6: Final answer
    x = 8,495.24

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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.