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Finding the Fourth Proportional to 7,156.60, 9,876.54 and 4,013.26

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Solution

The fourth proportional to 7,156.60, 9,876.54 and 4,013.26 is: 5,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.60 : 9,876.54 = 4,013.26 : x
  2. Step 2: Convert to fraction form
    7,156.60/9,876.54 = 4,013.26/x
  3. Step 3: Cross multiply
    7,156.60x = 9,876.54 × 4,013.26
  4. Step 4: Simplify right side
    7,156.60x = 39,637,122.92
  5. Step 5: Solve for x
    x = 39,637,122.92/7,156.60
  6. Step 6: Final answer
    x = 5,538.54

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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.