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Finding the Fourth Proportional to 7,669.05, 10,583.90 and 4,312

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Solution

The fourth proportional to 7,669.05, 10,583.90 and 4,312 is: 5,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.05 : 10,583.90 = 4,312 : x
  2. Step 2: Convert to fraction form
    7,669.05/10,583.90 = 4,312/x
  3. Step 3: Cross multiply
    7,669.05x = 10,583.90 × 4,312
  4. Step 4: Simplify right side
    7,669.05x = 45,637,776.80
  5. Step 5: Solve for x
    x = 45,637,776.80/7,669.05
  6. Step 6: Final answer
    x = 5,950.90

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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.