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Finding the Fourth Proportional to 10,390.66, 15,586.00 and 2,599.47

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Solution

The fourth proportional to 10,390.66, 15,586.00 and 2,599.47 is: 3,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.66 : 15,586.00 = 2,599.47 : x
  2. Step 2: Convert to fraction form
    10,390.66/15,586.00 = 2,599.47/x
  3. Step 3: Cross multiply
    10,390.66x = 15,586.00 × 2,599.47
  4. Step 4: Simplify right side
    10,390.66x = 40,515,332.92
  5. Step 5: Solve for x
    x = 40,515,332.92/10,390.66
  6. Step 6: Final answer
    x = 3,899.21

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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.