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Finding the Fourth Proportional to 10,766.09, 14,854.93 and 6,516.32

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Solution

The fourth proportional to 10,766.09, 14,854.93 and 6,516.32 is: 8,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.09 : 14,854.93 = 6,516.32 : x
  2. Step 2: Convert to fraction form
    10,766.09/14,854.93 = 6,516.32/x
  3. Step 3: Cross multiply
    10,766.09x = 14,854.93 × 6,516.32
  4. Step 4: Simplify right side
    10,766.09x = 96,799,386.89
  5. Step 5: Solve for x
    x = 96,799,386.89/10,766.09
  6. Step 6: Final answer
    x = 8,991.13

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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.