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Finding the Fourth Proportional to 10,436.40, 14,403.02 and 6,459.83

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Solution

The fourth proportional to 10,436.40, 14,403.02 and 6,459.83 is: 8,915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.40 : 14,403.02 = 6,459.83 : x
  2. Step 2: Convert to fraction form
    10,436.40/14,403.02 = 6,459.83/x
  3. Step 3: Cross multiply
    10,436.40x = 14,403.02 × 6,459.83
  4. Step 4: Simplify right side
    10,436.40x = 93,040,956.37
  5. Step 5: Solve for x
    x = 93,040,956.37/10,436.40
  6. Step 6: Final answer
    x = 8,915.04

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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.