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Finding the Fourth Proportional to 10,303.48, 15,434.61 and 4,749.22

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Solution

The fourth proportional to 10,303.48, 15,434.61 and 4,749.22 is: 7,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.48 : 15,434.61 = 4,749.22 : x
  2. Step 2: Convert to fraction form
    10,303.48/15,434.61 = 4,749.22/x
  3. Step 3: Cross multiply
    10,303.48x = 15,434.61 × 4,749.22
  4. Step 4: Simplify right side
    10,303.48x = 73,302,358.50
  5. Step 5: Solve for x
    x = 73,302,358.50/10,303.48
  6. Step 6: Final answer
    x = 7,114.33

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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.