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Finding the Fourth Proportional to 12,803.10, 17,666.52 and 7,137.16

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Solution

The fourth proportional to 12,803.10, 17,666.52 and 7,137.16 is: 9,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.10 : 17,666.52 = 7,137.16 : x
  2. Step 2: Convert to fraction form
    12,803.10/17,666.52 = 7,137.16/x
  3. Step 3: Cross multiply
    12,803.10x = 17,666.52 × 7,137.16
  4. Step 4: Simplify right side
    12,803.10x = 126,088,848.47
  5. Step 5: Solve for x
    x = 126,088,848.47/12,803.10
  6. Step 6: Final answer
    x = 9,848.31

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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.