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Finding the Fourth Proportional to 10,000.89, 13,808.16 and 6,225.75

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Solution

The fourth proportional to 10,000.89, 13,808.16 and 6,225.75 is: 8,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.89 : 13,808.16 = 6,225.75 : x
  2. Step 2: Convert to fraction form
    10,000.89/13,808.16 = 6,225.75/x
  3. Step 3: Cross multiply
    10,000.89x = 13,808.16 × 6,225.75
  4. Step 4: Simplify right side
    10,000.89x = 85,966,152.12
  5. Step 5: Solve for x
    x = 85,966,152.12/10,000.89
  6. Step 6: Final answer
    x = 8,595.85

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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.