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Finding the Fourth Proportional to 10,508.54, 15,730.00 and 7,541.96

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Solution

The fourth proportional to 10,508.54, 15,730.00 and 7,541.96 is: 11,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.54 : 15,730.00 = 7,541.96 : x
  2. Step 2: Convert to fraction form
    10,508.54/15,730.00 = 7,541.96/x
  3. Step 3: Cross multiply
    10,508.54x = 15,730.00 × 7,541.96
  4. Step 4: Simplify right side
    10,508.54x = 118,635,021.78
  5. Step 5: Solve for x
    x = 118,635,021.78/10,508.54
  6. Step 6: Final answer
    x = 11,289.40

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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.