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Finding the Fourth Proportional to 10,483.10, 14,459.12 and 6,005.22

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Solution

The fourth proportional to 10,483.10, 14,459.12 and 6,005.22 is: 8,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.10 : 14,459.12 = 6,005.22 : x
  2. Step 2: Convert to fraction form
    10,483.10/14,459.12 = 6,005.22/x
  3. Step 3: Cross multiply
    10,483.10x = 14,459.12 × 6,005.22
  4. Step 4: Simplify right side
    10,483.10x = 86,830,134.88
  5. Step 5: Solve for x
    x = 86,830,134.88/10,483.10
  6. Step 6: Final answer
    x = 8,282.87

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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.