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Finding the Fourth Proportional to 11,345.64, 17,008.08 and 4,772.30

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Solution

The fourth proportional to 11,345.64, 17,008.08 and 4,772.30 is: 7,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.64 : 17,008.08 = 4,772.30 : x
  2. Step 2: Convert to fraction form
    11,345.64/17,008.08 = 4,772.30/x
  3. Step 3: Cross multiply
    11,345.64x = 17,008.08 × 4,772.30
  4. Step 4: Simplify right side
    11,345.64x = 81,167,575.14
  5. Step 5: Solve for x
    x = 81,167,575.14/11,345.64
  6. Step 6: Final answer
    x = 7,154.08

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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.