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Finding the Fourth Proportional to 10,823.32, 16,232.14 and 4,897.90

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Solution

The fourth proportional to 10,823.32, 16,232.14 and 4,897.90 is: 7,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.32 : 16,232.14 = 4,897.90 : x
  2. Step 2: Convert to fraction form
    10,823.32/16,232.14 = 4,897.90/x
  3. Step 3: Cross multiply
    10,823.32x = 16,232.14 × 4,897.90
  4. Step 4: Simplify right side
    10,823.32x = 79,503,398.51
  5. Step 5: Solve for x
    x = 79,503,398.51/10,823.32
  6. Step 6: Final answer
    x = 7,345.56

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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.