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Finding the Fourth Proportional to 10,421.88, 15,599.25 and 6,866.93

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Solution

The fourth proportional to 10,421.88, 15,599.25 and 6,866.93 is: 10,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.88 : 15,599.25 = 6,866.93 : x
  2. Step 2: Convert to fraction form
    10,421.88/15,599.25 = 6,866.93/x
  3. Step 3: Cross multiply
    10,421.88x = 15,599.25 × 6,866.93
  4. Step 4: Simplify right side
    10,421.88x = 107,118,957.80
  5. Step 5: Solve for x
    x = 107,118,957.80/10,421.88
  6. Step 6: Final answer
    x = 10,278.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.