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Finding the Fourth Proportional to 8,051.32, 12,077.02 and 5,295.40

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Solution

The fourth proportional to 8,051.32, 12,077.02 and 5,295.40 is: 7,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.32 : 12,077.02 = 5,295.40 : x
  2. Step 2: Convert to fraction form
    8,051.32/12,077.02 = 5,295.40/x
  3. Step 3: Cross multiply
    8,051.32x = 12,077.02 × 5,295.40
  4. Step 4: Simplify right side
    8,051.32x = 63,952,651.71
  5. Step 5: Solve for x
    x = 63,952,651.71/8,051.32
  6. Step 6: Final answer
    x = 7,943.13

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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.