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Finding the Fourth Proportional to 10,472.64, 15,708.72 and 3,076.93

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Solution

The fourth proportional to 10,472.64, 15,708.72 and 3,076.93 is: 4,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.64 : 15,708.72 = 3,076.93 : x
  2. Step 2: Convert to fraction form
    10,472.64/15,708.72 = 3,076.93/x
  3. Step 3: Cross multiply
    10,472.64x = 15,708.72 × 3,076.93
  4. Step 4: Simplify right side
    10,472.64x = 48,334,631.83
  5. Step 5: Solve for x
    x = 48,334,631.83/10,472.64
  6. Step 6: Final answer
    x = 4,615.32

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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.