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Finding the Fourth Proportional to 10,575.88, 14,596.25 and 6,098.74

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Solution

The fourth proportional to 10,575.88, 14,596.25 and 6,098.74 is: 8,417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.88 : 14,596.25 = 6,098.74 : x
  2. Step 2: Convert to fraction form
    10,575.88/14,596.25 = 6,098.74/x
  3. Step 3: Cross multiply
    10,575.88x = 14,596.25 × 6,098.74
  4. Step 4: Simplify right side
    10,575.88x = 89,018,770.22
  5. Step 5: Solve for x
    x = 89,018,770.22/10,575.88
  6. Step 6: Final answer
    x = 8,417.15

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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.