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Finding the Fourth Proportional to 7,830.32, 10,805.86 and 4,293.58

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Solution

The fourth proportional to 7,830.32, 10,805.86 and 4,293.58 is: 5,925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.32 : 10,805.86 = 4,293.58 : x
  2. Step 2: Convert to fraction form
    7,830.32/10,805.86 = 4,293.58/x
  3. Step 3: Cross multiply
    7,830.32x = 10,805.86 × 4,293.58
  4. Step 4: Simplify right side
    7,830.32x = 46,395,824.38
  5. Step 5: Solve for x
    x = 46,395,824.38/7,830.32
  6. Step 6: Final answer
    x = 5,925.15

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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.