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Finding the Fourth Proportional to 7,153.20, 9,871.52 and 4,636.32

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Solution

The fourth proportional to 7,153.20, 9,871.52 and 4,636.32 is: 6,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.20 : 9,871.52 = 4,636.32 : x
  2. Step 2: Convert to fraction form
    7,153.20/9,871.52 = 4,636.32/x
  3. Step 3: Cross multiply
    7,153.20x = 9,871.52 × 4,636.32
  4. Step 4: Simplify right side
    7,153.20x = 45,767,502.42
  5. Step 5: Solve for x
    x = 45,767,502.42/7,153.20
  6. Step 6: Final answer
    x = 6,398.19

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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.