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Finding the Fourth Proportional to 11,870.30, 16,378.25 and 7,089.32

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Solution

The fourth proportional to 11,870.30, 16,378.25 and 7,089.32 is: 9,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.30 : 16,378.25 = 7,089.32 : x
  2. Step 2: Convert to fraction form
    11,870.30/16,378.25 = 7,089.32/x
  3. Step 3: Cross multiply
    11,870.30x = 16,378.25 × 7,089.32
  4. Step 4: Simplify right side
    11,870.30x = 116,110,700.67
  5. Step 5: Solve for x
    x = 116,110,700.67/11,870.30
  6. Step 6: Final answer
    x = 9,781.62

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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.