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Finding the Fourth Proportional to 10,865.16, 14,992.74 and 6,148.50

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Solution

The fourth proportional to 10,865.16, 14,992.74 and 6,148.50 is: 8,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.16 : 14,992.74 = 6,148.50 : x
  2. Step 2: Convert to fraction form
    10,865.16/14,992.74 = 6,148.50/x
  3. Step 3: Cross multiply
    10,865.16x = 14,992.74 × 6,148.50
  4. Step 4: Simplify right side
    10,865.16x = 92,182,861.89
  5. Step 5: Solve for x
    x = 92,182,861.89/10,865.16
  6. Step 6: Final answer
    x = 8,484.26

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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.