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Finding the Fourth Proportional to 10,748.64, 14,833.08 and 6,272.58

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Solution

The fourth proportional to 10,748.64, 14,833.08 and 6,272.58 is: 8,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748.64 : 14,833.08 = 6,272.58 : x
  2. Step 2: Convert to fraction form
    10,748.64/14,833.08 = 6,272.58/x
  3. Step 3: Cross multiply
    10,748.64x = 14,833.08 × 6,272.58
  4. Step 4: Simplify right side
    10,748.64x = 93,041,680.95
  5. Step 5: Solve for x
    x = 93,041,680.95/10,748.64
  6. Step 6: Final answer
    x = 8,656.14

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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.