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Finding the Fourth Proportional to 10,319.40, 15,480.18 and 6,420.60

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Solution

The fourth proportional to 10,319.40, 15,480.18 and 6,420.60 is: 9,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.40 : 15,480.18 = 6,420.60 : x
  2. Step 2: Convert to fraction form
    10,319.40/15,480.18 = 6,420.60/x
  3. Step 3: Cross multiply
    10,319.40x = 15,480.18 × 6,420.60
  4. Step 4: Simplify right side
    10,319.40x = 99,392,043.71
  5. Step 5: Solve for x
    x = 99,392,043.71/10,319.40
  6. Step 6: Final answer
    x = 9,631.57

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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.