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Finding the Fourth Proportional to 10,292.60, 15,438.90 and 2,897.30

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Solution

The fourth proportional to 10,292.60, 15,438.90 and 2,897.30 is: 4,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.60 : 15,438.90 = 2,897.30 : x
  2. Step 2: Convert to fraction form
    10,292.60/15,438.90 = 2,897.30/x
  3. Step 3: Cross multiply
    10,292.60x = 15,438.90 × 2,897.30
  4. Step 4: Simplify right side
    10,292.60x = 44,731,124.97
  5. Step 5: Solve for x
    x = 44,731,124.97/10,292.60
  6. Step 6: Final answer
    x = 4,345.95

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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.