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Finding the Fourth Proportional to 10,497.40, 15,744.88 and 4,260.20

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Solution

The fourth proportional to 10,497.40, 15,744.88 and 4,260.20 is: 6,389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.40 : 15,744.88 = 4,260.20 : x
  2. Step 2: Convert to fraction form
    10,497.40/15,744.88 = 4,260.20/x
  3. Step 3: Cross multiply
    10,497.40x = 15,744.88 × 4,260.20
  4. Step 4: Simplify right side
    10,497.40x = 67,076,264.38
  5. Step 5: Solve for x
    x = 67,076,264.38/10,497.40
  6. Step 6: Final answer
    x = 6,389.80

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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.