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Finding the Fourth Proportional to 7,820.17, 11,730.15 and 1,897.10

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Solution

The fourth proportional to 7,820.17, 11,730.15 and 1,897.10 is: 2,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.17 : 11,730.15 = 1,897.10 : x
  2. Step 2: Convert to fraction form
    7,820.17/11,730.15 = 1,897.10/x
  3. Step 3: Cross multiply
    7,820.17x = 11,730.15 × 1,897.10
  4. Step 4: Simplify right side
    7,820.17x = 22,253,304.00
  5. Step 5: Solve for x
    x = 22,253,304.00/7,820.17
  6. Step 6: Final answer
    x = 2,845.63

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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.