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Finding the Fourth Proportional to 10,985.64, 15,166.62 and 7,214.82

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Solution

The fourth proportional to 10,985.64, 15,166.62 and 7,214.82 is: 9,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.64 : 15,166.62 = 7,214.82 : x
  2. Step 2: Convert to fraction form
    10,985.64/15,166.62 = 7,214.82/x
  3. Step 3: Cross multiply
    10,985.64x = 15,166.62 × 7,214.82
  4. Step 4: Simplify right side
    10,985.64x = 109,424,433.31
  5. Step 5: Solve for x
    x = 109,424,433.31/10,985.64
  6. Step 6: Final answer
    x = 9,960.68

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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.