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Finding the Fourth Proportional to 10,812.68, 14,935.56 and 7,985.84

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Solution

The fourth proportional to 10,812.68, 14,935.56 and 7,985.84 is: 11,030.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.68 : 14,935.56 = 7,985.84 : x
  2. Step 2: Convert to fraction form
    10,812.68/14,935.56 = 7,985.84/x
  3. Step 3: Cross multiply
    10,812.68x = 14,935.56 × 7,985.84
  4. Step 4: Simplify right side
    10,812.68x = 119,272,992.47
  5. Step 5: Solve for x
    x = 119,272,992.47/10,812.68
  6. Step 6: Final answer
    x = 11,030.84

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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.