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Finding the Fourth Proportional to 11,438.56, 17,160 and 4,864.72

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Solution

The fourth proportional to 11,438.56, 17,160 and 4,864.72 is: 7,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.56 : 17,160 = 4,864.72 : x
  2. Step 2: Convert to fraction form
    11,438.56/17,160 = 4,864.72/x
  3. Step 3: Cross multiply
    11,438.56x = 17,160 × 4,864.72
  4. Step 4: Simplify right side
    11,438.56x = 83,478,595.20
  5. Step 5: Solve for x
    x = 83,478,595.20/11,438.56
  6. Step 6: Final answer
    x = 7,298.00

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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.