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Finding the Fourth Proportional to 7,894.59, 10,894.57 and 4,357.79

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Solution

The fourth proportional to 7,894.59, 10,894.57 and 4,357.79 is: 6,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.59 : 10,894.57 = 4,357.79 : x
  2. Step 2: Convert to fraction form
    7,894.59/10,894.57 = 4,357.79/x
  3. Step 3: Cross multiply
    7,894.59x = 10,894.57 × 4,357.79
  4. Step 4: Simplify right side
    7,894.59x = 47,476,248.20
  5. Step 5: Solve for x
    x = 47,476,248.20/7,894.59
  6. Step 6: Final answer
    x = 6,013.77

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