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Finding the Fourth Proportional to 12,562, 17,337.16 and 7,594

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Solution

The fourth proportional to 12,562, 17,337.16 and 7,594 is: 10,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562 : 17,337.16 = 7,594 : x
  2. Step 2: Convert to fraction form
    12,562/17,337.16 = 7,594/x
  3. Step 3: Cross multiply
    12,562x = 17,337.16 × 7,594
  4. Step 4: Simplify right side
    12,562x = 131,658,393.04
  5. Step 5: Solve for x
    x = 131,658,393.04/12,562
  6. Step 6: Final answer
    x = 10,480.69

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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.