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Finding the Fourth Proportional to 7,920.58, 10,929.72 and 4,382.92

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Solution

The fourth proportional to 7,920.58, 10,929.72 and 4,382.92 is: 6,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.58 : 10,929.72 = 4,382.92 : x
  2. Step 2: Convert to fraction form
    7,920.58/10,929.72 = 4,382.92/x
  3. Step 3: Cross multiply
    7,920.58x = 10,929.72 × 4,382.92
  4. Step 4: Simplify right side
    7,920.58x = 47,904,088.38
  5. Step 5: Solve for x
    x = 47,904,088.38/7,920.58
  6. Step 6: Final answer
    x = 6,048.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.