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Finding the Fourth Proportional to 12,690.42, 17,509.95 and 7,655.46

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Solution

The fourth proportional to 12,690.42, 17,509.95 and 7,655.46 is: 10,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.42 : 17,509.95 = 7,655.46 : x
  2. Step 2: Convert to fraction form
    12,690.42/17,509.95 = 7,655.46/x
  3. Step 3: Cross multiply
    12,690.42x = 17,509.95 × 7,655.46
  4. Step 4: Simplify right side
    12,690.42x = 134,046,721.83
  5. Step 5: Solve for x
    x = 134,046,721.83/12,690.42
  6. Step 6: Final answer
    x = 10,562.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.