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Finding the Fourth Proportional to 7,715.90, 11,554.08 and 5,340.69

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Solution

The fourth proportional to 7,715.90, 11,554.08 and 5,340.69 is: 7,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.90 : 11,554.08 = 5,340.69 : x
  2. Step 2: Convert to fraction form
    7,715.90/11,554.08 = 5,340.69/x
  3. Step 3: Cross multiply
    7,715.90x = 11,554.08 × 5,340.69
  4. Step 4: Simplify right side
    7,715.90x = 61,706,696.16
  5. Step 5: Solve for x
    x = 61,706,696.16/7,715.90
  6. Step 6: Final answer
    x = 7,997.35

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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.