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Finding the Fourth Proportional to 10,494.16, 15,751 and 5,303.68

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Solution

The fourth proportional to 10,494.16, 15,751 and 5,303.68 is: 7,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.16 : 15,751 = 5,303.68 : x
  2. Step 2: Convert to fraction form
    10,494.16/15,751 = 5,303.68/x
  3. Step 3: Cross multiply
    10,494.16x = 15,751 × 5,303.68
  4. Step 4: Simplify right side
    10,494.16x = 83,538,263.68
  5. Step 5: Solve for x
    x = 83,538,263.68/10,494.16
  6. Step 6: Final answer
    x = 7,960.45

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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.