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Finding the Fourth Proportional to 7,897.32, 10,898.70 and 5,240.20

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Solution

The fourth proportional to 7,897.32, 10,898.70 and 5,240.20 is: 7,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.32 : 10,898.70 = 5,240.20 : x
  2. Step 2: Convert to fraction form
    7,897.32/10,898.70 = 5,240.20/x
  3. Step 3: Cross multiply
    7,897.32x = 10,898.70 × 5,240.20
  4. Step 4: Simplify right side
    7,897.32x = 57,111,367.74
  5. Step 5: Solve for x
    x = 57,111,367.74/7,897.32
  6. Step 6: Final answer
    x = 7,231.74

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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.