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Finding the Fourth Proportional to 7,823.38, 10,800.93 and 6,948.58

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Solution

The fourth proportional to 7,823.38, 10,800.93 and 6,948.58 is: 9,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.38 : 10,800.93 = 6,948.58 : x
  2. Step 2: Convert to fraction form
    7,823.38/10,800.93 = 6,948.58/x
  3. Step 3: Cross multiply
    7,823.38x = 10,800.93 × 6,948.58
  4. Step 4: Simplify right side
    7,823.38x = 75,051,126.18
  5. Step 5: Solve for x
    x = 75,051,126.18/7,823.38
  6. Step 6: Final answer
    x = 9,593.18

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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.