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Finding the Fourth Proportional to 11,565.40, 17,335.68 and 4,994.68

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Solution

The fourth proportional to 11,565.40, 17,335.68 and 4,994.68 is: 7,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.40 : 17,335.68 = 4,994.68 : x
  2. Step 2: Convert to fraction form
    11,565.40/17,335.68 = 4,994.68/x
  3. Step 3: Cross multiply
    11,565.40x = 17,335.68 × 4,994.68
  4. Step 4: Simplify right side
    11,565.40x = 86,586,174.18
  5. Step 5: Solve for x
    x = 86,586,174.18/11,565.40
  6. Step 6: Final answer
    x = 7,486.66

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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.