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Finding the Fourth Proportional to 7,527.66, 10,387.47 and 4,543.98

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Solution

The fourth proportional to 7,527.66, 10,387.47 and 4,543.98 is: 6,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.66 : 10,387.47 = 4,543.98 : x
  2. Step 2: Convert to fraction form
    7,527.66/10,387.47 = 4,543.98/x
  3. Step 3: Cross multiply
    7,527.66x = 10,387.47 × 4,543.98
  4. Step 4: Simplify right side
    7,527.66x = 47,200,455.93
  5. Step 5: Solve for x
    x = 47,200,455.93/7,527.66
  6. Step 6: Final answer
    x = 6,270.27

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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.