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Finding the Fourth Proportional to 10,507.02, 15,765.99 and 9,901.95

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Solution

The fourth proportional to 10,507.02, 15,765.99 and 9,901.95 is: 14,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.02 : 15,765.99 = 9,901.95 : x
  2. Step 2: Convert to fraction form
    10,507.02/15,765.99 = 9,901.95/x
  3. Step 3: Cross multiply
    10,507.02x = 15,765.99 × 9,901.95
  4. Step 4: Simplify right side
    10,507.02x = 156,114,044.68
  5. Step 5: Solve for x
    x = 156,114,044.68/10,507.02
  6. Step 6: Final answer
    x = 14,858.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.