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Finding the Fourth Proportional to 7,412.34, 11,117.69 and 1,865.69

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Solution

The fourth proportional to 7,412.34, 11,117.69 and 1,865.69 is: 2,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.34 : 11,117.69 = 1,865.69 : x
  2. Step 2: Convert to fraction form
    7,412.34/11,117.69 = 1,865.69/x
  3. Step 3: Cross multiply
    7,412.34x = 11,117.69 × 1,865.69
  4. Step 4: Simplify right side
    7,412.34x = 20,742,098.14
  5. Step 5: Solve for x
    x = 20,742,098.14/7,412.34
  6. Step 6: Final answer
    x = 2,798.32

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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.