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Finding the Fourth Proportional to 11,547.92, 17,287.32 and 7,435.28

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Solution

The fourth proportional to 11,547.92, 17,287.32 and 7,435.28 is: 11,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.92 : 17,287.32 = 7,435.28 : x
  2. Step 2: Convert to fraction form
    11,547.92/17,287.32 = 7,435.28/x
  3. Step 3: Cross multiply
    11,547.92x = 17,287.32 × 7,435.28
  4. Step 4: Simplify right side
    11,547.92x = 128,536,064.65
  5. Step 5: Solve for x
    x = 128,536,064.65/11,547.92
  6. Step 6: Final answer
    x = 11,130.67

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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.