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Finding the Fourth Proportional to 11,707.56, 17,547.84 and 6,503.04

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Solution

The fourth proportional to 11,707.56, 17,547.84 and 6,503.04 is: 9,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.56 : 17,547.84 = 6,503.04 : x
  2. Step 2: Convert to fraction form
    11,707.56/17,547.84 = 6,503.04/x
  3. Step 3: Cross multiply
    11,707.56x = 17,547.84 × 6,503.04
  4. Step 4: Simplify right side
    11,707.56x = 114,114,305.43
  5. Step 5: Solve for x
    x = 114,114,305.43/11,707.56
  6. Step 6: Final answer
    x = 9,747.06

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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.