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Finding the Fourth Proportional to 10,615.30, 14,646.98 and 6,137.42

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Solution

The fourth proportional to 10,615.30, 14,646.98 and 6,137.42 is: 8,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.30 : 14,646.98 = 6,137.42 : x
  2. Step 2: Convert to fraction form
    10,615.30/14,646.98 = 6,137.42/x
  3. Step 3: Cross multiply
    10,615.30x = 14,646.98 × 6,137.42
  4. Step 4: Simplify right side
    10,615.30x = 89,894,657.97
  5. Step 5: Solve for x
    x = 89,894,657.97/10,615.30
  6. Step 6: Final answer
    x = 8,468.40

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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.