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Finding the Fourth Proportional to 6,265.65, 8,655.96 and 4,117.28

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Solution

The fourth proportional to 6,265.65, 8,655.96 and 4,117.28 is: 5,688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.65 : 8,655.96 = 4,117.28 : x
  2. Step 2: Convert to fraction form
    6,265.65/8,655.96 = 4,117.28/x
  3. Step 3: Cross multiply
    6,265.65x = 8,655.96 × 4,117.28
  4. Step 4: Simplify right side
    6,265.65x = 35,639,031.84
  5. Step 5: Solve for x
    x = 35,639,031.84/6,265.65
  6. Step 6: Final answer
    x = 5,688.00

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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.