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Finding the Fourth Proportional to 7,810.02, 11,715.03 and 1,967.09

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Solution

The fourth proportional to 7,810.02, 11,715.03 and 1,967.09 is: 2,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.02 : 11,715.03 = 1,967.09 : x
  2. Step 2: Convert to fraction form
    7,810.02/11,715.03 = 1,967.09/x
  3. Step 3: Cross multiply
    7,810.02x = 11,715.03 × 1,967.09
  4. Step 4: Simplify right side
    7,810.02x = 23,044,459.79
  5. Step 5: Solve for x
    x = 23,044,459.79/7,810.02
  6. Step 6: Final answer
    x = 2,950.63

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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.