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Finding the Fourth Proportional to 11,705.10, 17,565.81 and 5,133.16

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Solution

The fourth proportional to 11,705.10, 17,565.81 and 5,133.16 is: 7,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.10 : 17,565.81 = 5,133.16 : x
  2. Step 2: Convert to fraction form
    11,705.10/17,565.81 = 5,133.16/x
  3. Step 3: Cross multiply
    11,705.10x = 17,565.81 × 5,133.16
  4. Step 4: Simplify right side
    11,705.10x = 90,168,113.26
  5. Step 5: Solve for x
    x = 90,168,113.26/11,705.10
  6. Step 6: Final answer
    x = 7,703.32

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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.