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Finding the Fourth Proportional to 7,445.64, 10,275.96 and 4,301.22

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Solution

The fourth proportional to 7,445.64, 10,275.96 and 4,301.22 is: 5,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.64 : 10,275.96 = 4,301.22 : x
  2. Step 2: Convert to fraction form
    7,445.64/10,275.96 = 4,301.22/x
  3. Step 3: Cross multiply
    7,445.64x = 10,275.96 × 4,301.22
  4. Step 4: Simplify right side
    7,445.64x = 44,199,164.67
  5. Step 5: Solve for x
    x = 44,199,164.67/7,445.64
  6. Step 6: Final answer
    x = 5,936.25

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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.