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Finding the Fourth Proportional to 10,818.64, 14,929.14 and 6,037.72

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Solution

The fourth proportional to 10,818.64, 14,929.14 and 6,037.72 is: 8,331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.64 : 14,929.14 = 6,037.72 : x
  2. Step 2: Convert to fraction form
    10,818.64/14,929.14 = 6,037.72/x
  3. Step 3: Cross multiply
    10,818.64x = 14,929.14 × 6,037.72
  4. Step 4: Simplify right side
    10,818.64x = 90,137,967.16
  5. Step 5: Solve for x
    x = 90,137,967.16/10,818.64
  6. Step 6: Final answer
    x = 8,331.73

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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.