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Finding the Fourth Proportional to 10,000.40, 14,999.16 and 4,158.32

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Solution

The fourth proportional to 10,000.40, 14,999.16 and 4,158.32 is: 6,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.40 : 14,999.16 = 4,158.32 : x
  2. Step 2: Convert to fraction form
    10,000.40/14,999.16 = 4,158.32/x
  3. Step 3: Cross multiply
    10,000.40x = 14,999.16 × 4,158.32
  4. Step 4: Simplify right side
    10,000.40x = 62,371,307.01
  5. Step 5: Solve for x
    x = 62,371,307.01/10,000.40
  6. Step 6: Final answer
    x = 6,236.88

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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.