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Finding the Fourth Proportional to 10,462.66, 15,698.10 and 4,615.18

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Solution

The fourth proportional to 10,462.66, 15,698.10 and 4,615.18 is: 6,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.66 : 15,698.10 = 4,615.18 : x
  2. Step 2: Convert to fraction form
    10,462.66/15,698.10 = 4,615.18/x
  3. Step 3: Cross multiply
    10,462.66x = 15,698.10 × 4,615.18
  4. Step 4: Simplify right side
    10,462.66x = 72,449,557.16
  5. Step 5: Solve for x
    x = 72,449,557.16/10,462.66
  6. Step 6: Final answer
    x = 6,924.58

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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.