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Finding the Fourth Proportional to 10,459.87, 15,690.10 and 3,064.34

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Solution

The fourth proportional to 10,459.87, 15,690.10 and 3,064.34 is: 4,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.87 : 15,690.10 = 3,064.34 : x
  2. Step 2: Convert to fraction form
    10,459.87/15,690.10 = 3,064.34/x
  3. Step 3: Cross multiply
    10,459.87x = 15,690.10 × 3,064.34
  4. Step 4: Simplify right side
    10,459.87x = 48,079,730.24
  5. Step 5: Solve for x
    x = 48,079,730.24/10,459.87
  6. Step 6: Final answer
    x = 4,596.59

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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.