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Finding the Fourth Proportional to 10,498.42, 14,485.98 and 6,306.76

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Solution

The fourth proportional to 10,498.42, 14,485.98 and 6,306.76 is: 8,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.42 : 14,485.98 = 6,306.76 : x
  2. Step 2: Convert to fraction form
    10,498.42/14,485.98 = 6,306.76/x
  3. Step 3: Cross multiply
    10,498.42x = 14,485.98 × 6,306.76
  4. Step 4: Simplify right side
    10,498.42x = 91,359,599.22
  5. Step 5: Solve for x
    x = 91,359,599.22/10,498.42
  6. Step 6: Final answer
    x = 8,702.22

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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.