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Finding the Fourth Proportional to 12,158.45, 16,779.13 and 6,853.16

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Solution

The fourth proportional to 12,158.45, 16,779.13 and 6,853.16 is: 9,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.45 : 16,779.13 = 6,853.16 : x
  2. Step 2: Convert to fraction form
    12,158.45/16,779.13 = 6,853.16/x
  3. Step 3: Cross multiply
    12,158.45x = 16,779.13 × 6,853.16
  4. Step 4: Simplify right side
    12,158.45x = 114,990,031.53
  5. Step 5: Solve for x
    x = 114,990,031.53/12,158.45
  6. Step 6: Final answer
    x = 9,457.62

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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.