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Finding the Fourth Proportional to 7,897.50, 10,898.69 and 5,107.86

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Solution

The fourth proportional to 7,897.50, 10,898.69 and 5,107.86 is: 7,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.50 : 10,898.69 = 5,107.86 : x
  2. Step 2: Convert to fraction form
    7,897.50/10,898.69 = 5,107.86/x
  3. Step 3: Cross multiply
    7,897.50x = 10,898.69 × 5,107.86
  4. Step 4: Simplify right side
    7,897.50x = 55,668,957.16
  5. Step 5: Solve for x
    x = 55,668,957.16/7,897.50
  6. Step 6: Final answer
    x = 7,048.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.