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Finding the Fourth Proportional to 10,152.62, 15,226.62 and 4,602.26

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Solution

The fourth proportional to 10,152.62, 15,226.62 and 4,602.26 is: 6,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.62 : 15,226.62 = 4,602.26 : x
  2. Step 2: Convert to fraction form
    10,152.62/15,226.62 = 4,602.26/x
  3. Step 3: Cross multiply
    10,152.62x = 15,226.62 × 4,602.26
  4. Step 4: Simplify right side
    10,152.62x = 70,076,864.16
  5. Step 5: Solve for x
    x = 70,076,864.16/10,152.62
  6. Step 6: Final answer
    x = 6,902.34

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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.