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Finding the Fourth Proportional to 10,018.08, 13,822.65 and 6,037.74

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Solution

The fourth proportional to 10,018.08, 13,822.65 and 6,037.74 is: 8,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.08 : 13,822.65 = 6,037.74 : x
  2. Step 2: Convert to fraction form
    10,018.08/13,822.65 = 6,037.74/x
  3. Step 3: Cross multiply
    10,018.08x = 13,822.65 × 6,037.74
  4. Step 4: Simplify right side
    10,018.08x = 83,457,566.81
  5. Step 5: Solve for x
    x = 83,457,566.81/10,018.08
  6. Step 6: Final answer
    x = 8,330.69

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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.