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Finding the Fourth Proportional to 10,807.56, 14,913.54 and 6,093

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Solution

The fourth proportional to 10,807.56, 14,913.54 and 6,093 is: 8,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.56 : 14,913.54 = 6,093 : x
  2. Step 2: Convert to fraction form
    10,807.56/14,913.54 = 6,093/x
  3. Step 3: Cross multiply
    10,807.56x = 14,913.54 × 6,093
  4. Step 4: Simplify right side
    10,807.56x = 90,868,199.22
  5. Step 5: Solve for x
    x = 90,868,199.22/10,807.56
  6. Step 6: Final answer
    x = 8,407.84

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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.