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Finding the Fourth Proportional to 6,173.61, 8,521.10 and 3,814.35

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Solution

The fourth proportional to 6,173.61, 8,521.10 and 3,814.35 is: 5,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.61 : 8,521.10 = 3,814.35 : x
  2. Step 2: Convert to fraction form
    6,173.61/8,521.10 = 3,814.35/x
  3. Step 3: Cross multiply
    6,173.61x = 8,521.10 × 3,814.35
  4. Step 4: Simplify right side
    6,173.61x = 32,502,457.79
  5. Step 5: Solve for x
    x = 32,502,457.79/6,173.61
  6. Step 6: Final answer
    x = 5,264.74

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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.