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Finding the Fourth Proportional to 10,807.24, 14,913.74 and 6,091.52

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Solution

The fourth proportional to 10,807.24, 14,913.74 and 6,091.52 is: 8,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.24 : 14,913.74 = 6,091.52 : x
  2. Step 2: Convert to fraction form
    10,807.24/14,913.74 = 6,091.52/x
  3. Step 3: Cross multiply
    10,807.24x = 14,913.74 × 6,091.52
  4. Step 4: Simplify right side
    10,807.24x = 90,847,345.48
  5. Step 5: Solve for x
    x = 90,847,345.48/10,807.24
  6. Step 6: Final answer
    x = 8,406.16

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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.