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Finding the Fourth Proportional to 7,108.48, 9,809.60 and 4,588.16

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Solution

The fourth proportional to 7,108.48, 9,809.60 and 4,588.16 is: 6,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.48 : 9,809.60 = 4,588.16 : x
  2. Step 2: Convert to fraction form
    7,108.48/9,809.60 = 4,588.16/x
  3. Step 3: Cross multiply
    7,108.48x = 9,809.60 × 4,588.16
  4. Step 4: Simplify right side
    7,108.48x = 45,008,014.34
  5. Step 5: Solve for x
    x = 45,008,014.34/7,108.48
  6. Step 6: Final answer
    x = 6,331.59

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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.