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Finding the Fourth Proportional to 7,192.50, 9,925.65 and 4,985.78

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Solution

The fourth proportional to 7,192.50, 9,925.65 and 4,985.78 is: 6,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.50 : 9,925.65 = 4,985.78 : x
  2. Step 2: Convert to fraction form
    7,192.50/9,925.65 = 4,985.78/x
  3. Step 3: Cross multiply
    7,192.50x = 9,925.65 × 4,985.78
  4. Step 4: Simplify right side
    7,192.50x = 49,487,107.26
  5. Step 5: Solve for x
    x = 49,487,107.26/7,192.50
  6. Step 6: Final answer
    x = 6,880.38

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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.