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Finding the Fourth Proportional to 10,615.51, 14,639.16 and 7,028.83

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Solution

The fourth proportional to 10,615.51, 14,639.16 and 7,028.83 is: 9,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.51 : 14,639.16 = 7,028.83 : x
  2. Step 2: Convert to fraction form
    10,615.51/14,639.16 = 7,028.83/x
  3. Step 3: Cross multiply
    10,615.51x = 14,639.16 × 7,028.83
  4. Step 4: Simplify right side
    10,615.51x = 102,896,166.98
  5. Step 5: Solve for x
    x = 102,896,166.98/10,615.51
  6. Step 6: Final answer
    x = 9,693.00

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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.