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Finding the Fourth Proportional to 12,972.56, 17,901.12 and 7,307

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Solution

The fourth proportional to 12,972.56, 17,901.12 and 7,307 is: 10,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.56 : 17,901.12 = 7,307 : x
  2. Step 2: Convert to fraction form
    12,972.56/17,901.12 = 7,307/x
  3. Step 3: Cross multiply
    12,972.56x = 17,901.12 × 7,307
  4. Step 4: Simplify right side
    12,972.56x = 130,803,483.84
  5. Step 5: Solve for x
    x = 130,803,483.84/12,972.56
  6. Step 6: Final answer
    x = 10,083.09

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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.