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Finding the Fourth Proportional to 10,875.77, 15,004.14 and 7,097.63

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Solution

The fourth proportional to 10,875.77, 15,004.14 and 7,097.63 is: 9,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.77 : 15,004.14 = 7,097.63 : x
  2. Step 2: Convert to fraction form
    10,875.77/15,004.14 = 7,097.63/x
  3. Step 3: Cross multiply
    10,875.77x = 15,004.14 × 7,097.63
  4. Step 4: Simplify right side
    10,875.77x = 106,493,732.55
  5. Step 5: Solve for x
    x = 106,493,732.55/10,875.77
  6. Step 6: Final answer
    x = 9,791.83

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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.