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Finding the Fourth Proportional to 10,252.53, 15,379.74 and 4,407.80

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Solution

The fourth proportional to 10,252.53, 15,379.74 and 4,407.80 is: 6,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.53 : 15,379.74 = 4,407.80 : x
  2. Step 2: Convert to fraction form
    10,252.53/15,379.74 = 4,407.80/x
  3. Step 3: Cross multiply
    10,252.53x = 15,379.74 × 4,407.80
  4. Step 4: Simplify right side
    10,252.53x = 67,790,741.07
  5. Step 5: Solve for x
    x = 67,790,741.07/10,252.53
  6. Step 6: Final answer
    x = 6,612.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.