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Finding the Fourth Proportional to 10,479.72, 15,707.70 and 4,927.80

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Solution

The fourth proportional to 10,479.72, 15,707.70 and 4,927.80 is: 7,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.72 : 15,707.70 = 4,927.80 : x
  2. Step 2: Convert to fraction form
    10,479.72/15,707.70 = 4,927.80/x
  3. Step 3: Cross multiply
    10,479.72x = 15,707.70 × 4,927.80
  4. Step 4: Simplify right side
    10,479.72x = 77,404,404.06
  5. Step 5: Solve for x
    x = 77,404,404.06/10,479.72
  6. Step 6: Final answer
    x = 7,386.11

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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.