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Finding the Fourth Proportional to 10,021.86, 15,041.93 and 5,345.82

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Solution

The fourth proportional to 10,021.86, 15,041.93 and 5,345.82 is: 8,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.86 : 15,041.93 = 5,345.82 : x
  2. Step 2: Convert to fraction form
    10,021.86/15,041.93 = 5,345.82/x
  3. Step 3: Cross multiply
    10,021.86x = 15,041.93 × 5,345.82
  4. Step 4: Simplify right side
    10,021.86x = 80,411,423.50
  5. Step 5: Solve for x
    x = 80,411,423.50/10,021.86
  6. Step 6: Final answer
    x = 8,023.60

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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.