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Finding the Fourth Proportional to 10,316.01, 15,471.54 and 4,764.02

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Solution

The fourth proportional to 10,316.01, 15,471.54 and 4,764.02 is: 7,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.01 : 15,471.54 = 4,764.02 : x
  2. Step 2: Convert to fraction form
    10,316.01/15,471.54 = 4,764.02/x
  3. Step 3: Cross multiply
    10,316.01x = 15,471.54 × 4,764.02
  4. Step 4: Simplify right side
    10,316.01x = 73,706,702.17
  5. Step 5: Solve for x
    x = 73,706,702.17/10,316.01
  6. Step 6: Final answer
    x = 7,144.88

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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.