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Finding the Fourth Proportional to 10,615.87, 15,906.36 and 6,457.08

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Solution

The fourth proportional to 10,615.87, 15,906.36 and 6,457.08 is: 9,675.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.87 : 15,906.36 = 6,457.08 : x
  2. Step 2: Convert to fraction form
    10,615.87/15,906.36 = 6,457.08/x
  3. Step 3: Cross multiply
    10,615.87x = 15,906.36 × 6,457.08
  4. Step 4: Simplify right side
    10,615.87x = 102,708,639.03
  5. Step 5: Solve for x
    x = 102,708,639.03/10,615.87
  6. Step 6: Final answer
    x = 9,675.01

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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.