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Finding the Fourth Proportional to 12,013.18, 16,577.08 and 7,764.37

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Solution

The fourth proportional to 12,013.18, 16,577.08 and 7,764.37 is: 10,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.18 : 16,577.08 = 7,764.37 : x
  2. Step 2: Convert to fraction form
    12,013.18/16,577.08 = 7,764.37/x
  3. Step 3: Cross multiply
    12,013.18x = 16,577.08 × 7,764.37
  4. Step 4: Simplify right side
    12,013.18x = 128,710,582.64
  5. Step 5: Solve for x
    x = 128,710,582.64/12,013.18
  6. Step 6: Final answer
    x = 10,714.11

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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.