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Finding the Fourth Proportional to 10,730.51, 14,809.89 and 6,256.88

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Solution

The fourth proportional to 10,730.51, 14,809.89 and 6,256.88 is: 8,635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.51 : 14,809.89 = 6,256.88 : x
  2. Step 2: Convert to fraction form
    10,730.51/14,809.89 = 6,256.88/x
  3. Step 3: Cross multiply
    10,730.51x = 14,809.89 × 6,256.88
  4. Step 4: Simplify right side
    10,730.51x = 92,663,630.49
  5. Step 5: Solve for x
    x = 92,663,630.49/10,730.51
  6. Step 6: Final answer
    x = 8,635.53

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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.