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Finding the Fourth Proportional to 10,585.92, 14,605.28 and 6,048.64

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Solution

The fourth proportional to 10,585.92, 14,605.28 and 6,048.64 is: 8,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.92 : 14,605.28 = 6,048.64 : x
  2. Step 2: Convert to fraction form
    10,585.92/14,605.28 = 6,048.64/x
  3. Step 3: Cross multiply
    10,585.92x = 14,605.28 × 6,048.64
  4. Step 4: Simplify right side
    10,585.92x = 88,342,080.82
  5. Step 5: Solve for x
    x = 88,342,080.82/10,585.92
  6. Step 6: Final answer
    x = 8,345.24

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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.