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Finding the Fourth Proportional to 10,009.86, 15,018.03 and 7,048.50

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Solution

The fourth proportional to 10,009.86, 15,018.03 and 7,048.50 is: 10,575.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.86 : 15,018.03 = 7,048.50 : x
  2. Step 2: Convert to fraction form
    10,009.86/15,018.03 = 7,048.50/x
  3. Step 3: Cross multiply
    10,009.86x = 15,018.03 × 7,048.50
  4. Step 4: Simplify right side
    10,009.86x = 105,854,584.46
  5. Step 5: Solve for x
    x = 105,854,584.46/10,009.86
  6. Step 6: Final answer
    x = 10,575.03

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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.