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Finding the Fourth Proportional to 12,705.04, 17,534.08 and 7,116

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Solution

The fourth proportional to 12,705.04, 17,534.08 and 7,116 is: 9,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.04 : 17,534.08 = 7,116 : x
  2. Step 2: Convert to fraction form
    12,705.04/17,534.08 = 7,116/x
  3. Step 3: Cross multiply
    12,705.04x = 17,534.08 × 7,116
  4. Step 4: Simplify right side
    12,705.04x = 124,772,513.28
  5. Step 5: Solve for x
    x = 124,772,513.28/12,705.04
  6. Step 6: Final answer
    x = 9,820.71

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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.