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Finding the Fourth Proportional to 10,239.38, 15,358.53 and 5,043.50

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Solution

The fourth proportional to 10,239.38, 15,358.53 and 5,043.50 is: 7,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.38 : 15,358.53 = 5,043.50 : x
  2. Step 2: Convert to fraction form
    10,239.38/15,358.53 = 5,043.50/x
  3. Step 3: Cross multiply
    10,239.38x = 15,358.53 × 5,043.50
  4. Step 4: Simplify right side
    10,239.38x = 77,460,746.06
  5. Step 5: Solve for x
    x = 77,460,746.06/10,239.38
  6. Step 6: Final answer
    x = 7,564.98

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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.