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Finding the Fourth Proportional to 10,277.46, 14,182.88 and 5,802.16

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Solution

The fourth proportional to 10,277.46, 14,182.88 and 5,802.16 is: 8,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.46 : 14,182.88 = 5,802.16 : x
  2. Step 2: Convert to fraction form
    10,277.46/14,182.88 = 5,802.16/x
  3. Step 3: Cross multiply
    10,277.46x = 14,182.88 × 5,802.16
  4. Step 4: Simplify right side
    10,277.46x = 82,291,339.02
  5. Step 5: Solve for x
    x = 82,291,339.02/10,277.46
  6. Step 6: Final answer
    x = 8,006.97

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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.