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Finding the Fourth Proportional to 7,459.93, 11,189.06 and 1,913.40

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Solution

The fourth proportional to 7,459.93, 11,189.06 and 1,913.40 is: 2,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.93 : 11,189.06 = 1,913.40 : x
  2. Step 2: Convert to fraction form
    7,459.93/11,189.06 = 1,913.40/x
  3. Step 3: Cross multiply
    7,459.93x = 11,189.06 × 1,913.40
  4. Step 4: Simplify right side
    7,459.93x = 21,409,165.81
  5. Step 5: Solve for x
    x = 21,409,165.81/7,459.93
  6. Step 6: Final answer
    x = 2,869.89

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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.