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Finding the Fourth Proportional to 7,810.80, 11,701.62 and 5,215.56

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Solution

The fourth proportional to 7,810.80, 11,701.62 and 5,215.56 is: 7,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.80 : 11,701.62 = 5,215.56 : x
  2. Step 2: Convert to fraction form
    7,810.80/11,701.62 = 5,215.56/x
  3. Step 3: Cross multiply
    7,810.80x = 11,701.62 × 5,215.56
  4. Step 4: Simplify right side
    7,810.80x = 61,030,501.21
  5. Step 5: Solve for x
    x = 61,030,501.21/7,810.80
  6. Step 6: Final answer
    x = 7,813.60

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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.