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Finding the Fourth Proportional to 10,649.07, 15,952.47 and 5,019.03

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Solution

The fourth proportional to 10,649.07, 15,952.47 and 5,019.03 is: 7,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.07 : 15,952.47 = 5,019.03 : x
  2. Step 2: Convert to fraction form
    10,649.07/15,952.47 = 5,019.03/x
  3. Step 3: Cross multiply
    10,649.07x = 15,952.47 × 5,019.03
  4. Step 4: Simplify right side
    10,649.07x = 80,065,925.50
  5. Step 5: Solve for x
    x = 80,065,925.50/10,649.07
  6. Step 6: Final answer
    x = 7,518.58

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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.