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Finding the Fourth Proportional to 10,509.72, 15,766.02 and 4,666.20

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Solution

The fourth proportional to 10,509.72, 15,766.02 and 4,666.20 is: 6,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.72 : 15,766.02 = 4,666.20 : x
  2. Step 2: Convert to fraction form
    10,509.72/15,766.02 = 4,666.20/x
  3. Step 3: Cross multiply
    10,509.72x = 15,766.02 × 4,666.20
  4. Step 4: Simplify right side
    10,509.72x = 73,567,402.52
  5. Step 5: Solve for x
    x = 73,567,402.52/10,509.72
  6. Step 6: Final answer
    x = 6,999.94

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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.