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Finding the Fourth Proportional to 7,460.64, 10,295.10 and 4,316.22

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Solution

The fourth proportional to 7,460.64, 10,295.10 and 4,316.22 is: 5,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.64 : 10,295.10 = 4,316.22 : x
  2. Step 2: Convert to fraction form
    7,460.64/10,295.10 = 4,316.22/x
  3. Step 3: Cross multiply
    7,460.64x = 10,295.10 × 4,316.22
  4. Step 4: Simplify right side
    7,460.64x = 44,435,916.52
  5. Step 5: Solve for x
    x = 44,435,916.52/7,460.64
  6. Step 6: Final answer
    x = 5,956.05

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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.