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Finding the Fourth Proportional to 8,030.97, 12,050.10 and 4,750.47

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Solution

The fourth proportional to 8,030.97, 12,050.10 and 4,750.47 is: 7,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.97 : 12,050.10 = 4,750.47 : x
  2. Step 2: Convert to fraction form
    8,030.97/12,050.10 = 4,750.47/x
  3. Step 3: Cross multiply
    8,030.97x = 12,050.10 × 4,750.47
  4. Step 4: Simplify right side
    8,030.97x = 57,243,638.55
  5. Step 5: Solve for x
    x = 57,243,638.55/8,030.97
  6. Step 6: Final answer
    x = 7,127.86

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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.