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Finding the Fourth Proportional to 10,483.56, 15,708.87 and 4,935.60

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Solution

The fourth proportional to 10,483.56, 15,708.87 and 4,935.60 is: 7,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.56 : 15,708.87 = 4,935.60 : x
  2. Step 2: Convert to fraction form
    10,483.56/15,708.87 = 4,935.60/x
  3. Step 3: Cross multiply
    10,483.56x = 15,708.87 × 4,935.60
  4. Step 4: Simplify right side
    10,483.56x = 77,532,698.77
  5. Step 5: Solve for x
    x = 77,532,698.77/10,483.56
  6. Step 6: Final answer
    x = 7,395.65

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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.