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Finding the Fourth Proportional to 8,444.64, 11,657.76 and 5,302.56

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Solution

The fourth proportional to 8,444.64, 11,657.76 and 5,302.56 is: 7,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.64 : 11,657.76 = 5,302.56 : x
  2. Step 2: Convert to fraction form
    8,444.64/11,657.76 = 5,302.56/x
  3. Step 3: Cross multiply
    8,444.64x = 11,657.76 × 5,302.56
  4. Step 4: Simplify right side
    8,444.64x = 61,815,971.87
  5. Step 5: Solve for x
    x = 61,815,971.87/8,444.64
  6. Step 6: Final answer
    x = 7,320.14

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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.