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Finding the Fourth Proportional to 10,808.04, 14,915.16 and 6,830.94

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Solution

The fourth proportional to 10,808.04, 14,915.16 and 6,830.94 is: 9,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.04 : 14,915.16 = 6,830.94 : x
  2. Step 2: Convert to fraction form
    10,808.04/14,915.16 = 6,830.94/x
  3. Step 3: Cross multiply
    10,808.04x = 14,915.16 × 6,830.94
  4. Step 4: Simplify right side
    10,808.04x = 101,884,563.05
  5. Step 5: Solve for x
    x = 101,884,563.05/10,808.04
  6. Step 6: Final answer
    x = 9,426.74

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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.