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Finding the Fourth Proportional to 10,487.95, 14,461.37 and 7,830.88

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Solution

The fourth proportional to 10,487.95, 14,461.37 and 7,830.88 is: 10,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.95 : 14,461.37 = 7,830.88 : x
  2. Step 2: Convert to fraction form
    10,487.95/14,461.37 = 7,830.88/x
  3. Step 3: Cross multiply
    10,487.95x = 14,461.37 × 7,830.88
  4. Step 4: Simplify right side
    10,487.95x = 113,245,207.16
  5. Step 5: Solve for x
    x = 113,245,207.16/10,487.95
  6. Step 6: Final answer
    x = 10,797.65

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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.