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Finding the Fourth Proportional to 10,546.80, 15,807.40 and 4,697.20

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Solution

The fourth proportional to 10,546.80, 15,807.40 and 4,697.20 is: 7,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.80 : 15,807.40 = 4,697.20 : x
  2. Step 2: Convert to fraction form
    10,546.80/15,807.40 = 4,697.20/x
  3. Step 3: Cross multiply
    10,546.80x = 15,807.40 × 4,697.20
  4. Step 4: Simplify right side
    10,546.80x = 74,250,519.28
  5. Step 5: Solve for x
    x = 74,250,519.28/10,546.80
  6. Step 6: Final answer
    x = 7,040.10

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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.