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Finding the Fourth Proportional to 10,200.96, 15,298.98 and 6,497.64

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Solution

The fourth proportional to 10,200.96, 15,298.98 and 6,497.64 is: 9,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.96 : 15,298.98 = 6,497.64 : x
  2. Step 2: Convert to fraction form
    10,200.96/15,298.98 = 6,497.64/x
  3. Step 3: Cross multiply
    10,200.96x = 15,298.98 × 6,497.64
  4. Step 4: Simplify right side
    10,200.96x = 99,407,264.41
  5. Step 5: Solve for x
    x = 99,407,264.41/10,200.96
  6. Step 6: Final answer
    x = 9,744.89

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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.