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Finding the Fourth Proportional to 10,763.42, 14,854.74 and 6,288.62

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Solution

The fourth proportional to 10,763.42, 14,854.74 and 6,288.62 is: 8,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.42 : 14,854.74 = 6,288.62 : x
  2. Step 2: Convert to fraction form
    10,763.42/14,854.74 = 6,288.62/x
  3. Step 3: Cross multiply
    10,763.42x = 14,854.74 × 6,288.62
  4. Step 4: Simplify right side
    10,763.42x = 93,415,815.06
  5. Step 5: Solve for x
    x = 93,415,815.06/10,763.42
  6. Step 6: Final answer
    x = 8,679.01

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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.