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Finding the Fourth Proportional to 10,706.68, 14,779.32 and 7,168.60

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Solution

The fourth proportional to 10,706.68, 14,779.32 and 7,168.60 is: 9,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.68 : 14,779.32 = 7,168.60 : x
  2. Step 2: Convert to fraction form
    10,706.68/14,779.32 = 7,168.60/x
  3. Step 3: Cross multiply
    10,706.68x = 14,779.32 × 7,168.60
  4. Step 4: Simplify right side
    10,706.68x = 105,947,033.35
  5. Step 5: Solve for x
    x = 105,947,033.35/10,706.68
  6. Step 6: Final answer
    x = 9,895.41

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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.