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Finding the Fourth Proportional to 7,282.46, 10,929.15 and 2,897.52

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Solution

The fourth proportional to 7,282.46, 10,929.15 and 2,897.52 is: 4,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.46 : 10,929.15 = 2,897.52 : x
  2. Step 2: Convert to fraction form
    7,282.46/10,929.15 = 2,897.52/x
  3. Step 3: Cross multiply
    7,282.46x = 10,929.15 × 2,897.52
  4. Step 4: Simplify right side
    7,282.46x = 31,667,430.71
  5. Step 5: Solve for x
    x = 31,667,430.71/7,282.46
  6. Step 6: Final answer
    x = 4,348.46

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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.