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Finding the Fourth Proportional to 12,583.10, 17,364.88 and 6,918.10

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Solution

The fourth proportional to 12,583.10, 17,364.88 and 6,918.10 is: 9,547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.10 : 17,364.88 = 6,918.10 : x
  2. Step 2: Convert to fraction form
    12,583.10/17,364.88 = 6,918.10/x
  3. Step 3: Cross multiply
    12,583.10x = 17,364.88 × 6,918.10
  4. Step 4: Simplify right side
    12,583.10x = 120,131,941.56
  5. Step 5: Solve for x
    x = 120,131,941.56/12,583.10
  6. Step 6: Final answer
    x = 9,547.08

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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.