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Finding the Fourth Proportional to 7,703.52, 10,630.80 and 6,026.64

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Solution

The fourth proportional to 7,703.52, 10,630.80 and 6,026.64 is: 8,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.52 : 10,630.80 = 6,026.64 : x
  2. Step 2: Convert to fraction form
    7,703.52/10,630.80 = 6,026.64/x
  3. Step 3: Cross multiply
    7,703.52x = 10,630.80 × 6,026.64
  4. Step 4: Simplify right side
    7,703.52x = 64,068,004.51
  5. Step 5: Solve for x
    x = 64,068,004.51/7,703.52
  6. Step 6: Final answer
    x = 8,316.72

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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.