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Finding the Fourth Proportional to 10,049.34, 13,870.98 and 6,070.74

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Solution

The fourth proportional to 10,049.34, 13,870.98 and 6,070.74 is: 8,379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.34 : 13,870.98 = 6,070.74 : x
  2. Step 2: Convert to fraction form
    10,049.34/13,870.98 = 6,070.74/x
  3. Step 3: Cross multiply
    10,049.34x = 13,870.98 × 6,070.74
  4. Step 4: Simplify right side
    10,049.34x = 84,207,113.13
  5. Step 5: Solve for x
    x = 84,207,113.13/10,049.34
  6. Step 6: Final answer
    x = 8,379.37

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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.