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Finding the Fourth Proportional to 7,292.81, 10,937.60 and 2,097.47

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Solution

The fourth proportional to 7,292.81, 10,937.60 and 2,097.47 is: 3,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.81 : 10,937.60 = 2,097.47 : x
  2. Step 2: Convert to fraction form
    7,292.81/10,937.60 = 2,097.47/x
  3. Step 3: Cross multiply
    7,292.81x = 10,937.60 × 2,097.47
  4. Step 4: Simplify right side
    7,292.81x = 22,941,277.38
  5. Step 5: Solve for x
    x = 22,941,277.38/7,292.81
  6. Step 6: Final answer
    x = 3,145.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.