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Finding the Fourth Proportional to 7,088.54, 9,781.76 and 4,104.16

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Solution

The fourth proportional to 7,088.54, 9,781.76 and 4,104.16 is: 5,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.54 : 9,781.76 = 4,104.16 : x
  2. Step 2: Convert to fraction form
    7,088.54/9,781.76 = 4,104.16/x
  3. Step 3: Cross multiply
    7,088.54x = 9,781.76 × 4,104.16
  4. Step 4: Simplify right side
    7,088.54x = 40,145,893.93
  5. Step 5: Solve for x
    x = 40,145,893.93/7,088.54
  6. Step 6: Final answer
    x = 5,663.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.