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Finding the Fourth Proportional to 12,226, 16,875.72 and 7,810

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Solution

The fourth proportional to 12,226, 16,875.72 and 7,810 is: 10,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226 : 16,875.72 = 7,810 : x
  2. Step 2: Convert to fraction form
    12,226/16,875.72 = 7,810/x
  3. Step 3: Cross multiply
    12,226x = 16,875.72 × 7,810
  4. Step 4: Simplify right side
    12,226x = 131,799,373.20
  5. Step 5: Solve for x
    x = 131,799,373.20/12,226
  6. Step 6: Final answer
    x = 10,780.25

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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.