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Finding the Fourth Proportional to 10,462.77, 15,686.63 and 4,913.03

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Solution

The fourth proportional to 10,462.77, 15,686.63 and 4,913.03 is: 7,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.77 : 15,686.63 = 4,913.03 : x
  2. Step 2: Convert to fraction form
    10,462.77/15,686.63 = 4,913.03/x
  3. Step 3: Cross multiply
    10,462.77x = 15,686.63 × 4,913.03
  4. Step 4: Simplify right side
    10,462.77x = 77,068,883.79
  5. Step 5: Solve for x
    x = 77,068,883.79/10,462.77
  6. Step 6: Final answer
    x = 7,366.01

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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.