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Finding the Fourth Proportional to 10,402.32, 15,564.60 and 6,021.84

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Solution

The fourth proportional to 10,402.32, 15,564.60 and 6,021.84 is: 9,010.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.32 : 15,564.60 = 6,021.84 : x
  2. Step 2: Convert to fraction form
    10,402.32/15,564.60 = 6,021.84/x
  3. Step 3: Cross multiply
    10,402.32x = 15,564.60 × 6,021.84
  4. Step 4: Simplify right side
    10,402.32x = 93,727,530.86
  5. Step 5: Solve for x
    x = 93,727,530.86/10,402.32
  6. Step 6: Final answer
    x = 9,010.25

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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.