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Finding the Fourth Proportional to 10,580.94, 15,870.78 and 4,735.98

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Solution

The fourth proportional to 10,580.94, 15,870.78 and 4,735.98 is: 7,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.94 : 15,870.78 = 4,735.98 : x
  2. Step 2: Convert to fraction form
    10,580.94/15,870.78 = 4,735.98/x
  3. Step 3: Cross multiply
    10,580.94x = 15,870.78 × 4,735.98
  4. Step 4: Simplify right side
    10,580.94x = 75,163,696.66
  5. Step 5: Solve for x
    x = 75,163,696.66/10,580.94
  6. Step 6: Final answer
    x = 7,103.69

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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.