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Finding the Fourth Proportional to 10,494.96, 14,482.44 and 6,302.40

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Solution

The fourth proportional to 10,494.96, 14,482.44 and 6,302.40 is: 8,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.96 : 14,482.44 = 6,302.40 : x
  2. Step 2: Convert to fraction form
    10,494.96/14,482.44 = 6,302.40/x
  3. Step 3: Cross multiply
    10,494.96x = 14,482.44 × 6,302.40
  4. Step 4: Simplify right side
    10,494.96x = 91,274,129.86
  5. Step 5: Solve for x
    x = 91,274,129.86/10,494.96
  6. Step 6: Final answer
    x = 8,696.95

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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.