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Finding the Fourth Proportional to 12,784.02, 17,641.47 and 7,119

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Solution

The fourth proportional to 12,784.02, 17,641.47 and 7,119 is: 9,823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.02 : 17,641.47 = 7,119 : x
  2. Step 2: Convert to fraction form
    12,784.02/17,641.47 = 7,119/x
  3. Step 3: Cross multiply
    12,784.02x = 17,641.47 × 7,119
  4. Step 4: Simplify right side
    12,784.02x = 125,589,624.93
  5. Step 5: Solve for x
    x = 125,589,624.93/12,784.02
  6. Step 6: Final answer
    x = 9,823.95

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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.