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Finding the Fourth Proportional to 12,709.12, 17,538.56 and 7,120

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Solution

The fourth proportional to 12,709.12, 17,538.56 and 7,120 is: 9,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.12 : 17,538.56 = 7,120 : x
  2. Step 2: Convert to fraction form
    12,709.12/17,538.56 = 7,120/x
  3. Step 3: Cross multiply
    12,709.12x = 17,538.56 × 7,120
  4. Step 4: Simplify right side
    12,709.12x = 124,874,547.20
  5. Step 5: Solve for x
    x = 124,874,547.20/12,709.12
  6. Step 6: Final answer
    x = 9,825.59

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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.