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Finding the Fourth Proportional to 7,153.56, 9,876.48 and 5,830.41

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Solution

The fourth proportional to 7,153.56, 9,876.48 and 5,830.41 is: 8,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.56 : 9,876.48 = 5,830.41 : x
  2. Step 2: Convert to fraction form
    7,153.56/9,876.48 = 5,830.41/x
  3. Step 3: Cross multiply
    7,153.56x = 9,876.48 × 5,830.41
  4. Step 4: Simplify right side
    7,153.56x = 57,583,927.76
  5. Step 5: Solve for x
    x = 57,583,927.76/7,153.56
  6. Step 6: Final answer
    x = 8,049.69

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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.