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Finding the Fourth Proportional to 7,281.82, 10,038.74 and 6,158.24

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Solution

The fourth proportional to 7,281.82, 10,038.74 and 6,158.24 is: 8,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.82 : 10,038.74 = 6,158.24 : x
  2. Step 2: Convert to fraction form
    7,281.82/10,038.74 = 6,158.24/x
  3. Step 3: Cross multiply
    7,281.82x = 10,038.74 × 6,158.24
  4. Step 4: Simplify right side
    7,281.82x = 61,820,970.22
  5. Step 5: Solve for x
    x = 61,820,970.22/7,281.82
  6. Step 6: Final answer
    x = 8,489.77

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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.