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Finding the Fourth Proportional to 10,368.18, 14,310 and 6,118.92

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Solution

The fourth proportional to 10,368.18, 14,310 and 6,118.92 is: 8,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.18 : 14,310 = 6,118.92 : x
  2. Step 2: Convert to fraction form
    10,368.18/14,310 = 6,118.92/x
  3. Step 3: Cross multiply
    10,368.18x = 14,310 × 6,118.92
  4. Step 4: Simplify right side
    10,368.18x = 87,561,745.20
  5. Step 5: Solve for x
    x = 87,561,745.20/10,368.18
  6. Step 6: Final answer
    x = 8,445.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.