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Finding the Fourth Proportional to 10,443.76, 15,664.02 and 3,047.45

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Solution

The fourth proportional to 10,443.76, 15,664.02 and 3,047.45 is: 4,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.76 : 15,664.02 = 3,047.45 : x
  2. Step 2: Convert to fraction form
    10,443.76/15,664.02 = 3,047.45/x
  3. Step 3: Cross multiply
    10,443.76x = 15,664.02 × 3,047.45
  4. Step 4: Simplify right side
    10,443.76x = 47,735,228.00
  5. Step 5: Solve for x
    x = 47,735,228.00/10,443.76
  6. Step 6: Final answer
    x = 4,570.69

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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.