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Finding the Fourth Proportional to 7,652.16, 11,475.60 and 2,971.07

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Solution

The fourth proportional to 7,652.16, 11,475.60 and 2,971.07 is: 4,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.16 : 11,475.60 = 2,971.07 : x
  2. Step 2: Convert to fraction form
    7,652.16/11,475.60 = 2,971.07/x
  3. Step 3: Cross multiply
    7,652.16x = 11,475.60 × 2,971.07
  4. Step 4: Simplify right side
    7,652.16x = 34,094,753.51
  5. Step 5: Solve for x
    x = 34,094,753.51/7,652.16
  6. Step 6: Final answer
    x = 4,455.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.