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Finding the Fourth Proportional to 10,460.81, 15,763.17 and 8,652.62

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Solution

The fourth proportional to 10,460.81, 15,763.17 and 8,652.62 is: 13,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.81 : 15,763.17 = 8,652.62 : x
  2. Step 2: Convert to fraction form
    10,460.81/15,763.17 = 8,652.62/x
  3. Step 3: Cross multiply
    10,460.81x = 15,763.17 × 8,652.62
  4. Step 4: Simplify right side
    10,460.81x = 136,392,608.74
  5. Step 5: Solve for x
    x = 136,392,608.74/10,460.81
  6. Step 6: Final answer
    x = 13,038.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.