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Finding the Fourth Proportional to 7,746.89, 11,538.33 and 7,709.13

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Solution

The fourth proportional to 7,746.89, 11,538.33 and 7,709.13 is: 11,482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.89 : 11,538.33 = 7,709.13 : x
  2. Step 2: Convert to fraction form
    7,746.89/11,538.33 = 7,709.13/x
  3. Step 3: Cross multiply
    7,746.89x = 11,538.33 × 7,709.13
  4. Step 4: Simplify right side
    7,746.89x = 88,950,457.04
  5. Step 5: Solve for x
    x = 88,950,457.04/7,746.89
  6. Step 6: Final answer
    x = 11,482.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.