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Finding the Fourth Proportional to 6,502.80, 8,970.28 and 4,018.32

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Solution

The fourth proportional to 6,502.80, 8,970.28 and 4,018.32 is: 5,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.80 : 8,970.28 = 4,018.32 : x
  2. Step 2: Convert to fraction form
    6,502.80/8,970.28 = 4,018.32/x
  3. Step 3: Cross multiply
    6,502.80x = 8,970.28 × 4,018.32
  4. Step 4: Simplify right side
    6,502.80x = 36,045,455.53
  5. Step 5: Solve for x
    x = 36,045,455.53/6,502.80
  6. Step 6: Final answer
    x = 5,543.07

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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.