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Finding the Fourth Proportional to 7,897.70, 11,838.45 and 4,609.10

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Solution

The fourth proportional to 7,897.70, 11,838.45 and 4,609.10 is: 6,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.70 : 11,838.45 = 4,609.10 : x
  2. Step 2: Convert to fraction form
    7,897.70/11,838.45 = 4,609.10/x
  3. Step 3: Cross multiply
    7,897.70x = 11,838.45 × 4,609.10
  4. Step 4: Simplify right side
    7,897.70x = 54,564,599.90
  5. Step 5: Solve for x
    x = 54,564,599.90/7,897.70
  6. Step 6: Final answer
    x = 6,908.92

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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.