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Finding the Fourth Proportional to 10,618.98, 14,657.25 and 6,145.75

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Solution

The fourth proportional to 10,618.98, 14,657.25 and 6,145.75 is: 8,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.98 : 14,657.25 = 6,145.75 : x
  2. Step 2: Convert to fraction form
    10,618.98/14,657.25 = 6,145.75/x
  3. Step 3: Cross multiply
    10,618.98x = 14,657.25 × 6,145.75
  4. Step 4: Simplify right side
    10,618.98x = 90,079,818.42
  5. Step 5: Solve for x
    x = 90,079,818.42/10,618.98
  6. Step 6: Final answer
    x = 8,482.91

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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.