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Finding the Fourth Proportional to 10,478.50, 15,717.51 and 4,928.76

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Solution

The fourth proportional to 10,478.50, 15,717.51 and 4,928.76 is: 7,393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.50 : 15,717.51 = 4,928.76 : x
  2. Step 2: Convert to fraction form
    10,478.50/15,717.51 = 4,928.76/x
  3. Step 3: Cross multiply
    10,478.50x = 15,717.51 × 4,928.76
  4. Step 4: Simplify right side
    10,478.50x = 77,467,834.59
  5. Step 5: Solve for x
    x = 77,467,834.59/10,478.50
  6. Step 6: Final answer
    x = 7,393.03

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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.