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Finding the Fourth Proportional to 7,703.52, 10,623.60 and 5,053.20

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Solution

The fourth proportional to 7,703.52, 10,623.60 and 5,053.20 is: 6,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.52 : 10,623.60 = 5,053.20 : x
  2. Step 2: Convert to fraction form
    7,703.52/10,623.60 = 5,053.20/x
  3. Step 3: Cross multiply
    7,703.52x = 10,623.60 × 5,053.20
  4. Step 4: Simplify right side
    7,703.52x = 53,683,175.52
  5. Step 5: Solve for x
    x = 53,683,175.52/7,703.52
  6. Step 6: Final answer
    x = 6,968.66

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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.