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Finding the Fourth Proportional to 10,101.97, 15,159.43 and 4,905.01

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Solution

The fourth proportional to 10,101.97, 15,159.43 and 4,905.01 is: 7,360.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.97 : 15,159.43 = 4,905.01 : x
  2. Step 2: Convert to fraction form
    10,101.97/15,159.43 = 4,905.01/x
  3. Step 3: Cross multiply
    10,101.97x = 15,159.43 × 4,905.01
  4. Step 4: Simplify right side
    10,101.97x = 74,357,079.95
  5. Step 5: Solve for x
    x = 74,357,079.95/10,101.97
  6. Step 6: Final answer
    x = 7,360.66

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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.