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Finding the Fourth Proportional to 10,807.95, 14,920.86 and 7,468.74

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Solution

The fourth proportional to 10,807.95, 14,920.86 and 7,468.74 is: 10,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.95 : 14,920.86 = 7,468.74 : x
  2. Step 2: Convert to fraction form
    10,807.95/14,920.86 = 7,468.74/x
  3. Step 3: Cross multiply
    10,807.95x = 14,920.86 × 7,468.74
  4. Step 4: Simplify right side
    10,807.95x = 111,440,023.92
  5. Step 5: Solve for x
    x = 111,440,023.92/10,807.95
  6. Step 6: Final answer
    x = 10,310.93

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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.