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Finding the Fourth Proportional to 10,000.54, 14,969.34 and 6,862.20

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Solution

The fourth proportional to 10,000.54, 14,969.34 and 6,862.20 is: 10,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.54 : 14,969.34 = 6,862.20 : x
  2. Step 2: Convert to fraction form
    10,000.54/14,969.34 = 6,862.20/x
  3. Step 3: Cross multiply
    10,000.54x = 14,969.34 × 6,862.20
  4. Step 4: Simplify right side
    10,000.54x = 102,722,548.81
  5. Step 5: Solve for x
    x = 102,722,548.81/10,000.54
  6. Step 6: Final answer
    x = 10,271.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.