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Finding the Fourth Proportional to 12,716.58, 17,547.93 and 7,126.50

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Solution

The fourth proportional to 12,716.58, 17,547.93 and 7,126.50 is: 9,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.58 : 17,547.93 = 7,126.50 : x
  2. Step 2: Convert to fraction form
    12,716.58/17,547.93 = 7,126.50/x
  3. Step 3: Cross multiply
    12,716.58x = 17,547.93 × 7,126.50
  4. Step 4: Simplify right side
    12,716.58x = 125,055,323.15
  5. Step 5: Solve for x
    x = 125,055,323.15/12,716.58
  6. Step 6: Final answer
    x = 9,834.04

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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.