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Finding the Fourth Proportional to 8,039.16, 12,058.63 and 7,840.62

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Solution

The fourth proportional to 8,039.16, 12,058.63 and 7,840.62 is: 11,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.16 : 12,058.63 = 7,840.62 : x
  2. Step 2: Convert to fraction form
    8,039.16/12,058.63 = 7,840.62/x
  3. Step 3: Cross multiply
    8,039.16x = 12,058.63 × 7,840.62
  4. Step 4: Simplify right side
    8,039.16x = 94,547,115.95
  5. Step 5: Solve for x
    x = 94,547,115.95/8,039.16
  6. Step 6: Final answer
    x = 11,760.82

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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.