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Finding the Fourth Proportional to 7,534.76, 10,397.96 and 4,222.76

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Solution

The fourth proportional to 7,534.76, 10,397.96 and 4,222.76 is: 5,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.76 : 10,397.96 = 4,222.76 : x
  2. Step 2: Convert to fraction form
    7,534.76/10,397.96 = 4,222.76/x
  3. Step 3: Cross multiply
    7,534.76x = 10,397.96 × 4,222.76
  4. Step 4: Simplify right side
    7,534.76x = 43,908,089.57
  5. Step 5: Solve for x
    x = 43,908,089.57/7,534.76
  6. Step 6: Final answer
    x = 5,827.40

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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.