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Finding the Fourth Proportional to 8,030.64, 12,054.60 and 6,746.16

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Solution

The fourth proportional to 8,030.64, 12,054.60 and 6,746.16 is: 10,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.64 : 12,054.60 = 6,746.16 : x
  2. Step 2: Convert to fraction form
    8,030.64/12,054.60 = 6,746.16/x
  3. Step 3: Cross multiply
    8,030.64x = 12,054.60 × 6,746.16
  4. Step 4: Simplify right side
    8,030.64x = 81,322,260.34
  5. Step 5: Solve for x
    x = 81,322,260.34/8,030.64
  6. Step 6: Final answer
    x = 10,126.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.