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Finding the Fourth Proportional to 10,813.02, 14,919.71 and 6,566.33

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Solution

The fourth proportional to 10,813.02, 14,919.71 and 6,566.33 is: 9,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.02 : 14,919.71 = 6,566.33 : x
  2. Step 2: Convert to fraction form
    10,813.02/14,919.71 = 6,566.33/x
  3. Step 3: Cross multiply
    10,813.02x = 14,919.71 × 6,566.33
  4. Step 4: Simplify right side
    10,813.02x = 97,967,631.93
  5. Step 5: Solve for x
    x = 97,967,631.93/10,813.02
  6. Step 6: Final answer
    x = 9,060.15

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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.