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Finding the Fourth Proportional to 10,870.85, 14,993.61 and 7,289.86

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Solution

The fourth proportional to 10,870.85, 14,993.61 and 7,289.86 is: 10,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.85 : 14,993.61 = 7,289.86 : x
  2. Step 2: Convert to fraction form
    10,870.85/14,993.61 = 7,289.86/x
  3. Step 3: Cross multiply
    10,870.85x = 14,993.61 × 7,289.86
  4. Step 4: Simplify right side
    10,870.85x = 109,301,317.79
  5. Step 5: Solve for x
    x = 109,301,317.79/10,870.85
  6. Step 6: Final answer
    x = 10,054.53

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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.