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Finding the Fourth Proportional to 6,275.10, 8,662.50 and 4,038.21

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Solution

The fourth proportional to 6,275.10, 8,662.50 and 4,038.21 is: 5,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.10 : 8,662.50 = 4,038.21 : x
  2. Step 2: Convert to fraction form
    6,275.10/8,662.50 = 4,038.21/x
  3. Step 3: Cross multiply
    6,275.10x = 8,662.50 × 4,038.21
  4. Step 4: Simplify right side
    6,275.10x = 34,980,994.13
  5. Step 5: Solve for x
    x = 34,980,994.13/6,275.10
  6. Step 6: Final answer
    x = 5,574.57

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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.