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Finding the Fourth Proportional to 7,435.30, 10,255.53 and 6,502.18

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Solution

The fourth proportional to 7,435.30, 10,255.53 and 6,502.18 is: 8,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.30 : 10,255.53 = 6,502.18 : x
  2. Step 2: Convert to fraction form
    7,435.30/10,255.53 = 6,502.18/x
  3. Step 3: Cross multiply
    7,435.30x = 10,255.53 × 6,502.18
  4. Step 4: Simplify right side
    7,435.30x = 66,683,302.06
  5. Step 5: Solve for x
    x = 66,683,302.06/7,435.30
  6. Step 6: Final answer
    x = 8,968.47

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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.