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Finding the Fourth Proportional to 10,594.07, 15,894.74 and 4,754.78

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Solution

The fourth proportional to 10,594.07, 15,894.74 and 4,754.78 is: 7,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.07 : 15,894.74 = 4,754.78 : x
  2. Step 2: Convert to fraction form
    10,594.07/15,894.74 = 4,754.78/x
  3. Step 3: Cross multiply
    10,594.07x = 15,894.74 × 4,754.78
  4. Step 4: Simplify right side
    10,594.07x = 75,575,924.27
  5. Step 5: Solve for x
    x = 75,575,924.27/10,594.07
  6. Step 6: Final answer
    x = 7,133.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.