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Finding the Fourth Proportional to 7,512.70, 10,367.84 and 4,681.74

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Solution

The fourth proportional to 7,512.70, 10,367.84 and 4,681.74 is: 6,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.70 : 10,367.84 = 4,681.74 : x
  2. Step 2: Convert to fraction form
    7,512.70/10,367.84 = 4,681.74/x
  3. Step 3: Cross multiply
    7,512.70x = 10,367.84 × 4,681.74
  4. Step 4: Simplify right side
    7,512.70x = 48,539,531.24
  5. Step 5: Solve for x
    x = 48,539,531.24/7,512.70
  6. Step 6: Final answer
    x = 6,461.00

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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.