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Finding the Fourth Proportional to 7,416.64, 10,234.86 and 4,059.40

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Solution

The fourth proportional to 7,416.64, 10,234.86 and 4,059.40 is: 5,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.64 : 10,234.86 = 4,059.40 : x
  2. Step 2: Convert to fraction form
    7,416.64/10,234.86 = 4,059.40/x
  3. Step 3: Cross multiply
    7,416.64x = 10,234.86 × 4,059.40
  4. Step 4: Simplify right side
    7,416.64x = 41,547,339.51
  5. Step 5: Solve for x
    x = 41,547,339.51/7,416.64
  6. Step 6: Final answer
    x = 5,601.91

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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.