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Finding the Fourth Proportional to 12,675.28, 17,492.16 and 7,010

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Solution

The fourth proportional to 12,675.28, 17,492.16 and 7,010 is: 9,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.28 : 17,492.16 = 7,010 : x
  2. Step 2: Convert to fraction form
    12,675.28/17,492.16 = 7,010/x
  3. Step 3: Cross multiply
    12,675.28x = 17,492.16 × 7,010
  4. Step 4: Simplify right side
    12,675.28x = 122,620,041.60
  5. Step 5: Solve for x
    x = 122,620,041.60/12,675.28
  6. Step 6: Final answer
    x = 9,673.95

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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.